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Finding the Fourth Proportional to 749.04, 1,117.38 and 634.20

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Solution

The fourth proportional to 749.04, 1,117.38 and 634.20 is: 946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.04 : 1,117.38 = 634.20 : x
  2. Step 2: Convert to fraction form
    749.04/1,117.38 = 634.20/x
  3. Step 3: Cross multiply
    749.04x = 1,117.38 × 634.20
  4. Step 4: Simplify right side
    749.04x = 708,642.40
  5. Step 5: Solve for x
    x = 708,642.40/749.04
  6. Step 6: Final answer
    x = 946.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.