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Finding the Fourth Proportional to 745.57, 1,117.54 and 526.47

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Solution

The fourth proportional to 745.57, 1,117.54 and 526.47 is: 789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.57 : 1,117.54 = 526.47 : x
  2. Step 2: Convert to fraction form
    745.57/1,117.54 = 526.47/x
  3. Step 3: Cross multiply
    745.57x = 1,117.54 × 526.47
  4. Step 4: Simplify right side
    745.57x = 588,351.28
  5. Step 5: Solve for x
    x = 588,351.28/745.57
  6. Step 6: Final answer
    x = 789.13

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