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Finding the Fourth Proportional to 1,058.22, 1,585.98 and 473.22

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Solution

The fourth proportional to 1,058.22, 1,585.98 and 473.22 is: 709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.22 : 1,585.98 = 473.22 : x
  2. Step 2: Convert to fraction form
    1,058.22/1,585.98 = 473.22/x
  3. Step 3: Cross multiply
    1,058.22x = 1,585.98 × 473.22
  4. Step 4: Simplify right side
    1,058.22x = 750,517.46
  5. Step 5: Solve for x
    x = 750,517.46/1,058.22
  6. Step 6: Final answer
    x = 709.23

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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.