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Finding the Fourth Proportional to 691.10, 954.51 and 598.70

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Solution

The fourth proportional to 691.10, 954.51 and 598.70 is: 826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.10 : 954.51 = 598.70 : x
  2. Step 2: Convert to fraction form
    691.10/954.51 = 598.70/x
  3. Step 3: Cross multiply
    691.10x = 954.51 × 598.70
  4. Step 4: Simplify right side
    691.10x = 571,465.14
  5. Step 5: Solve for x
    x = 571,465.14/691.10
  6. Step 6: Final answer
    x = 826.89

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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.