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Finding the Fourth Proportional to 870.17, 1,304.96 and 383.09

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Solution

The fourth proportional to 870.17, 1,304.96 and 383.09 is: 574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.17 : 1,304.96 = 383.09 : x
  2. Step 2: Convert to fraction form
    870.17/1,304.96 = 383.09/x
  3. Step 3: Cross multiply
    870.17x = 1,304.96 × 383.09
  4. Step 4: Simplify right side
    870.17x = 499,918.47
  5. Step 5: Solve for x
    x = 499,918.47/870.17
  6. Step 6: Final answer
    x = 574.51

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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.