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Finding the Fourth Proportional to 870.13, 1,305.61 and 383.11

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Solution

The fourth proportional to 870.13, 1,305.61 and 383.11 is: 574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.13 : 1,305.61 = 383.11 : x
  2. Step 2: Convert to fraction form
    870.13/1,305.61 = 383.11/x
  3. Step 3: Cross multiply
    870.13x = 1,305.61 × 383.11
  4. Step 4: Simplify right side
    870.13x = 500,190.33
  5. Step 5: Solve for x
    x = 500,190.33/870.13
  6. Step 6: Final answer
    x = 574.85

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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.