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Finding the Fourth Proportional to 1,345.07, 1,856.12 and 747.59

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Solution

The fourth proportional to 1,345.07, 1,856.12 and 747.59 is: 1,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.07 : 1,856.12 = 747.59 : x
  2. Step 2: Convert to fraction form
    1,345.07/1,856.12 = 747.59/x
  3. Step 3: Cross multiply
    1,345.07x = 1,856.12 × 747.59
  4. Step 4: Simplify right side
    1,345.07x = 1,387,617.65
  5. Step 5: Solve for x
    x = 1,387,617.65/1,345.07
  6. Step 6: Final answer
    x = 1,031.64

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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.