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Finding the Fourth Proportional to 717.02, 1,074.72 and 543.68

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Solution

The fourth proportional to 717.02, 1,074.72 and 543.68 is: 814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.02 : 1,074.72 = 543.68 : x
  2. Step 2: Convert to fraction form
    717.02/1,074.72 = 543.68/x
  3. Step 3: Cross multiply
    717.02x = 1,074.72 × 543.68
  4. Step 4: Simplify right side
    717.02x = 584,303.77
  5. Step 5: Solve for x
    x = 584,303.77/717.02
  6. Step 6: Final answer
    x = 814.91

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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.