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Finding the Fourth Proportional to 1,058.20, 1,460.06 and 615.83

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Solution

The fourth proportional to 1,058.20, 1,460.06 and 615.83 is: 849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.20 : 1,460.06 = 615.83 : x
  2. Step 2: Convert to fraction form
    1,058.20/1,460.06 = 615.83/x
  3. Step 3: Cross multiply
    1,058.20x = 1,460.06 × 615.83
  4. Step 4: Simplify right side
    1,058.20x = 899,149.32
  5. Step 5: Solve for x
    x = 899,149.32/1,058.20
  6. Step 6: Final answer
    x = 849.70

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