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Finding the Fourth Proportional to 745.56, 1,116.28 and 562.40

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Solution

The fourth proportional to 745.56, 1,116.28 and 562.40 is: 842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.56 : 1,116.28 = 562.40 : x
  2. Step 2: Convert to fraction form
    745.56/1,116.28 = 562.40/x
  3. Step 3: Cross multiply
    745.56x = 1,116.28 × 562.40
  4. Step 4: Simplify right side
    745.56x = 627,795.87
  5. Step 5: Solve for x
    x = 627,795.87/745.56
  6. Step 6: Final answer
    x = 842.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.