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Finding the Fourth Proportional to 1,129.23, 1,558.10 and 686.36

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Solution

The fourth proportional to 1,129.23, 1,558.10 and 686.36 is: 947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.23 : 1,558.10 = 686.36 : x
  2. Step 2: Convert to fraction form
    1,129.23/1,558.10 = 686.36/x
  3. Step 3: Cross multiply
    1,129.23x = 1,558.10 × 686.36
  4. Step 4: Simplify right side
    1,129.23x = 1,069,417.52
  5. Step 5: Solve for x
    x = 1,069,417.52/1,129.23
  6. Step 6: Final answer
    x = 947.03

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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.