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Finding the Fourth Proportional to 745.62, 1,117.56 and 471.30

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Solution

The fourth proportional to 745.62, 1,117.56 and 471.30 is: 706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.62 : 1,117.56 = 471.30 : x
  2. Step 2: Convert to fraction form
    745.62/1,117.56 = 471.30/x
  3. Step 3: Cross multiply
    745.62x = 1,117.56 × 471.30
  4. Step 4: Simplify right side
    745.62x = 526,706.03
  5. Step 5: Solve for x
    x = 526,706.03/745.62
  6. Step 6: Final answer
    x = 706.40

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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.