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Finding the Fourth Proportional to 795.40, 1,097.48 and 534.18

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Solution

The fourth proportional to 795.40, 1,097.48 and 534.18 is: 737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.40 : 1,097.48 = 534.18 : x
  2. Step 2: Convert to fraction form
    795.40/1,097.48 = 534.18/x
  3. Step 3: Cross multiply
    795.40x = 1,097.48 × 534.18
  4. Step 4: Simplify right side
    795.40x = 586,251.87
  5. Step 5: Solve for x
    x = 586,251.87/795.40
  6. Step 6: Final answer
    x = 737.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.