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Finding the Fourth Proportional to 1,170.74, 1,615.62 and 646.77

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Solution

The fourth proportional to 1,170.74, 1,615.62 and 646.77 is: 892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.74 : 1,615.62 = 646.77 : x
  2. Step 2: Convert to fraction form
    1,170.74/1,615.62 = 646.77/x
  3. Step 3: Cross multiply
    1,170.74x = 1,615.62 × 646.77
  4. Step 4: Simplify right side
    1,170.74x = 1,044,934.85
  5. Step 5: Solve for x
    x = 1,044,934.85/1,170.74
  6. Step 6: Final answer
    x = 892.54

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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.