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Finding the Fourth Proportional to 732.00, 1,097.60 and 501.15

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Solution

The fourth proportional to 732.00, 1,097.60 and 501.15 is: 751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.00 : 1,097.60 = 501.15 : x
  2. Step 2: Convert to fraction form
    732.00/1,097.60 = 501.15/x
  3. Step 3: Cross multiply
    732.00x = 1,097.60 × 501.15
  4. Step 4: Simplify right side
    732.00x = 550,063.85
  5. Step 5: Solve for x
    x = 550,063.85/732.00
  6. Step 6: Final answer
    x = 751.45

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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.