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Finding the Fourth Proportional to 745.59, 1,117.23 and 498.54

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Solution

The fourth proportional to 745.59, 1,117.23 and 498.54 is: 747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.59 : 1,117.23 = 498.54 : x
  2. Step 2: Convert to fraction form
    745.59/1,117.23 = 498.54/x
  3. Step 3: Cross multiply
    745.59x = 1,117.23 × 498.54
  4. Step 4: Simplify right side
    745.59x = 556,983.84
  5. Step 5: Solve for x
    x = 556,983.84/745.59
  6. Step 6: Final answer
    x = 747.04

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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.