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Finding the Fourth Proportional to 981.47, 1,354.58 and 588.62

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Solution

The fourth proportional to 981.47, 1,354.58 and 588.62 is: 812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.47 : 1,354.58 = 588.62 : x
  2. Step 2: Convert to fraction form
    981.47/1,354.58 = 588.62/x
  3. Step 3: Cross multiply
    981.47x = 1,354.58 × 588.62
  4. Step 4: Simplify right side
    981.47x = 797,332.88
  5. Step 5: Solve for x
    x = 797,332.88/981.47
  6. Step 6: Final answer
    x = 812.39

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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.