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Finding the Fourth Proportional to 1,058.96, 1,460.97 and 686.15

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Solution

The fourth proportional to 1,058.96, 1,460.97 and 686.15 is: 946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.96 : 1,460.97 = 686.15 : x
  2. Step 2: Convert to fraction form
    1,058.96/1,460.97 = 686.15/x
  3. Step 3: Cross multiply
    1,058.96x = 1,460.97 × 686.15
  4. Step 4: Simplify right side
    1,058.96x = 1,002,437.26
  5. Step 5: Solve for x
    x = 1,002,437.26/1,058.96
  6. Step 6: Final answer
    x = 946.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.