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Finding the Fourth Proportional to 1,345.42, 1,856.52 and 747.82

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Solution

The fourth proportional to 1,345.42, 1,856.52 and 747.82 is: 1,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.42 : 1,856.52 = 747.82 : x
  2. Step 2: Convert to fraction form
    1,345.42/1,856.52 = 747.82/x
  3. Step 3: Cross multiply
    1,345.42x = 1,856.52 × 747.82
  4. Step 4: Simplify right side
    1,345.42x = 1,388,342.79
  5. Step 5: Solve for x
    x = 1,388,342.79/1,345.42
  6. Step 6: Final answer
    x = 1,031.90

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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.