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Finding the Fourth Proportional to 1,558.60, 2,335.47 and 736.72

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Solution

The fourth proportional to 1,558.60, 2,335.47 and 736.72 is: 1,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.60 : 2,335.47 = 736.72 : x
  2. Step 2: Convert to fraction form
    1,558.60/2,335.47 = 736.72/x
  3. Step 3: Cross multiply
    1,558.60x = 2,335.47 × 736.72
  4. Step 4: Simplify right side
    1,558.60x = 1,720,587.46
  5. Step 5: Solve for x
    x = 1,720,587.46/1,558.60
  6. Step 6: Final answer
    x = 1,103.93

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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.