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Finding the Fourth Proportional to 870.90, 1,304.30 and 437

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Solution

The fourth proportional to 870.90, 1,304.30 and 437 is: 654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.90 : 1,304.30 = 437 : x
  2. Step 2: Convert to fraction form
    870.90/1,304.30 = 437/x
  3. Step 3: Cross multiply
    870.90x = 1,304.30 × 437
  4. Step 4: Simplify right side
    870.90x = 569,979.10
  5. Step 5: Solve for x
    x = 569,979.10/870.90
  6. Step 6: Final answer
    x = 654.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.