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Finding the Fourth Proportional to 946.76, 1,306.80 and 597.65

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Solution

The fourth proportional to 946.76, 1,306.80 and 597.65 is: 824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,306.80 = 597.65 : x
  2. Step 2: Convert to fraction form
    946.76/1,306.80 = 597.65/x
  3. Step 3: Cross multiply
    946.76x = 1,306.80 × 597.65
  4. Step 4: Simplify right side
    946.76x = 781,002.49
  5. Step 5: Solve for x
    x = 781,002.49/946.76
  6. Step 6: Final answer
    x = 824.93

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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.