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Finding the Fourth Proportional to 870.12, 1,304.57 and 437.04

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Solution

The fourth proportional to 870.12, 1,304.57 and 437.04 is: 655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.12 : 1,304.57 = 437.04 : x
  2. Step 2: Convert to fraction form
    870.12/1,304.57 = 437.04/x
  3. Step 3: Cross multiply
    870.12x = 1,304.57 × 437.04
  4. Step 4: Simplify right side
    870.12x = 570,147.09
  5. Step 5: Solve for x
    x = 570,147.09/870.12
  6. Step 6: Final answer
    x = 655.25

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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.