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Finding the Fourth Proportional to 1,170.44, 1,615.31 and 646.57

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Solution

The fourth proportional to 1,170.44, 1,615.31 and 646.57 is: 892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.44 : 1,615.31 = 646.57 : x
  2. Step 2: Convert to fraction form
    1,170.44/1,615.31 = 646.57/x
  3. Step 3: Cross multiply
    1,170.44x = 1,615.31 × 646.57
  4. Step 4: Simplify right side
    1,170.44x = 1,044,410.99
  5. Step 5: Solve for x
    x = 1,044,410.99/1,170.44
  6. Step 6: Final answer
    x = 892.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.