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Finding the Fourth Proportional to 709.92, 1,058.04 and 695.52

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Solution

The fourth proportional to 709.92, 1,058.04 and 695.52 is: 1,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 1,058.04 = 695.52 : x
  2. Step 2: Convert to fraction form
    709.92/1,058.04 = 695.52/x
  3. Step 3: Cross multiply
    709.92x = 1,058.04 × 695.52
  4. Step 4: Simplify right side
    709.92x = 735,887.98
  5. Step 5: Solve for x
    x = 735,887.98/709.92
  6. Step 6: Final answer
    x = 1,036.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.