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Finding the Fourth Proportional to 1,058.56, 1,585.10 and 647.13

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Solution

The fourth proportional to 1,058.56, 1,585.10 and 647.13 is: 969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.56 : 1,585.10 = 647.13 : x
  2. Step 2: Convert to fraction form
    1,058.56/1,585.10 = 647.13/x
  3. Step 3: Cross multiply
    1,058.56x = 1,585.10 × 647.13
  4. Step 4: Simplify right side
    1,058.56x = 1,025,765.76
  5. Step 5: Solve for x
    x = 1,025,765.76/1,058.56
  6. Step 6: Final answer
    x = 969.02

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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.