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Finding the Fourth Proportional to 870.14, 1,304.53 and 431.55

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Solution

The fourth proportional to 870.14, 1,304.53 and 431.55 is: 646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.14 : 1,304.53 = 431.55 : x
  2. Step 2: Convert to fraction form
    870.14/1,304.53 = 431.55/x
  3. Step 3: Cross multiply
    870.14x = 1,304.53 × 431.55
  4. Step 4: Simplify right side
    870.14x = 562,961.24
  5. Step 5: Solve for x
    x = 562,961.24/870.14
  6. Step 6: Final answer
    x = 646.98

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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.