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Finding the Fourth Proportional to 946.50, 1,306.26 and 597.12

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Solution

The fourth proportional to 946.50, 1,306.26 and 597.12 is: 824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.50 : 1,306.26 = 597.12 : x
  2. Step 2: Convert to fraction form
    946.50/1,306.26 = 597.12/x
  3. Step 3: Cross multiply
    946.50x = 1,306.26 × 597.12
  4. Step 4: Simplify right side
    946.50x = 779,993.97
  5. Step 5: Solve for x
    x = 779,993.97/946.50
  6. Step 6: Final answer
    x = 824.08

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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.