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Finding the Fourth Proportional to 1,058.28, 1,587.24 and 473.04

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Solution

The fourth proportional to 1,058.28, 1,587.24 and 473.04 is: 709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.28 : 1,587.24 = 473.04 : x
  2. Step 2: Convert to fraction form
    1,058.28/1,587.24 = 473.04/x
  3. Step 3: Cross multiply
    1,058.28x = 1,587.24 × 473.04
  4. Step 4: Simplify right side
    1,058.28x = 750,828.01
  5. Step 5: Solve for x
    x = 750,828.01/1,058.28
  6. Step 6: Final answer
    x = 709.48

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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.