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Finding the Fourth Proportional to 870.41, 1,306.49 and 459.47

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Solution

The fourth proportional to 870.41, 1,306.49 and 459.47 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.41 : 1,306.49 = 459.47 : x
  2. Step 2: Convert to fraction form
    870.41/1,306.49 = 459.47/x
  3. Step 3: Cross multiply
    870.41x = 1,306.49 × 459.47
  4. Step 4: Simplify right side
    870.41x = 600,284.13
  5. Step 5: Solve for x
    x = 600,284.13/870.41
  6. Step 6: Final answer
    x = 689.66

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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.