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Finding the Fourth Proportional to 1,039.48, 1,434.46 and 567.37

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Solution

The fourth proportional to 1,039.48, 1,434.46 and 567.37 is: 782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.48 : 1,434.46 = 567.37 : x
  2. Step 2: Convert to fraction form
    1,039.48/1,434.46 = 567.37/x
  3. Step 3: Cross multiply
    1,039.48x = 1,434.46 × 567.37
  4. Step 4: Simplify right side
    1,039.48x = 813,869.57
  5. Step 5: Solve for x
    x = 813,869.57/1,039.48
  6. Step 6: Final answer
    x = 782.96

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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.