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Finding the Fourth Proportional to 745.18, 1,117.40 and 437.13

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Solution

The fourth proportional to 745.18, 1,117.40 and 437.13 is: 655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.18 : 1,117.40 = 437.13 : x
  2. Step 2: Convert to fraction form
    745.18/1,117.40 = 437.13/x
  3. Step 3: Cross multiply
    745.18x = 1,117.40 × 437.13
  4. Step 4: Simplify right side
    745.18x = 488,449.06
  5. Step 5: Solve for x
    x = 488,449.06/745.18
  6. Step 6: Final answer
    x = 655.48

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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.