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Finding the Fourth Proportional to 795.70, 1,098.57 and 497.26

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Solution

The fourth proportional to 795.70, 1,098.57 and 497.26 is: 686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.70 : 1,098.57 = 497.26 : x
  2. Step 2: Convert to fraction form
    795.70/1,098.57 = 497.26/x
  3. Step 3: Cross multiply
    795.70x = 1,098.57 × 497.26
  4. Step 4: Simplify right side
    795.70x = 546,274.92
  5. Step 5: Solve for x
    x = 546,274.92/795.70
  6. Step 6: Final answer
    x = 686.53

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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.