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Finding the Fourth Proportional to 870.48, 1,306.13 and 407.97

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Solution

The fourth proportional to 870.48, 1,306.13 and 407.97 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.48 : 1,306.13 = 407.97 : x
  2. Step 2: Convert to fraction form
    870.48/1,306.13 = 407.97/x
  3. Step 3: Cross multiply
    870.48x = 1,306.13 × 407.97
  4. Step 4: Simplify right side
    870.48x = 532,859.82
  5. Step 5: Solve for x
    x = 532,859.82/870.48
  6. Step 6: Final answer
    x = 612.14

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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.