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Finding the Fourth Proportional to 1,058.13, 1,585.35 and 669.02

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Solution

The fourth proportional to 1,058.13, 1,585.35 and 669.02 is: 1,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.13 : 1,585.35 = 669.02 : x
  2. Step 2: Convert to fraction form
    1,058.13/1,585.35 = 669.02/x
  3. Step 3: Cross multiply
    1,058.13x = 1,585.35 × 669.02
  4. Step 4: Simplify right side
    1,058.13x = 1,060,622.93
  5. Step 5: Solve for x
    x = 1,060,622.93/1,058.13
  6. Step 6: Final answer
    x = 1,002.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.