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Finding the Fourth Proportional to 946.59, 1,306.49 and 597.21

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Solution

The fourth proportional to 946.59, 1,306.49 and 597.21 is: 824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.59 : 1,306.49 = 597.21 : x
  2. Step 2: Convert to fraction form
    946.59/1,306.49 = 597.21/x
  3. Step 3: Cross multiply
    946.59x = 1,306.49 × 597.21
  4. Step 4: Simplify right side
    946.59x = 780,248.89
  5. Step 5: Solve for x
    x = 780,248.89/946.59
  6. Step 6: Final answer
    x = 824.27

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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.