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Finding the Fourth Proportional to 1,058.76, 1,587.21 and 409.14

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Solution

The fourth proportional to 1,058.76, 1,587.21 and 409.14 is: 613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.76 : 1,587.21 = 409.14 : x
  2. Step 2: Convert to fraction form
    1,058.76/1,587.21 = 409.14/x
  3. Step 3: Cross multiply
    1,058.76x = 1,587.21 × 409.14
  4. Step 4: Simplify right side
    1,058.76x = 649,391.10
  5. Step 5: Solve for x
    x = 649,391.10/1,058.76
  6. Step 6: Final answer
    x = 613.35

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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.