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Finding the Fourth Proportional to 749.94, 1,034.40 and 497.82

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Solution

The fourth proportional to 749.94, 1,034.40 and 497.82 is: 686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.94 : 1,034.40 = 497.82 : x
  2. Step 2: Convert to fraction form
    749.94/1,034.40 = 497.82/x
  3. Step 3: Cross multiply
    749.94x = 1,034.40 × 497.82
  4. Step 4: Simplify right side
    749.94x = 514,945.01
  5. Step 5: Solve for x
    x = 514,945.01/749.94
  6. Step 6: Final answer
    x = 686.65

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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.