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Finding the Fourth Proportional to 1,170.87, 1,615.77 and 646.89

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Solution

The fourth proportional to 1,170.87, 1,615.77 and 646.89 is: 892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.87 : 1,615.77 = 646.89 : x
  2. Step 2: Convert to fraction form
    1,170.87/1,615.77 = 646.89/x
  3. Step 3: Cross multiply
    1,170.87x = 1,615.77 × 646.89
  4. Step 4: Simplify right side
    1,170.87x = 1,045,225.46
  5. Step 5: Solve for x
    x = 1,045,225.46/1,170.87
  6. Step 6: Final answer
    x = 892.69

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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.