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Finding the Fourth Proportional to 925.99, 1,391.31 and 597.13

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Solution

The fourth proportional to 925.99, 1,391.31 and 597.13 is: 897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.99 : 1,391.31 = 597.13 : x
  2. Step 2: Convert to fraction form
    925.99/1,391.31 = 597.13/x
  3. Step 3: Cross multiply
    925.99x = 1,391.31 × 597.13
  4. Step 4: Simplify right side
    925.99x = 830,792.94
  5. Step 5: Solve for x
    x = 830,792.94/925.99
  6. Step 6: Final answer
    x = 897.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.