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Finding the Fourth Proportional to 752.84, 1,126.14 and 714.44

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Solution

The fourth proportional to 752.84, 1,126.14 and 714.44 is: 1,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.84 : 1,126.14 = 714.44 : x
  2. Step 2: Convert to fraction form
    752.84/1,126.14 = 714.44/x
  3. Step 3: Cross multiply
    752.84x = 1,126.14 × 714.44
  4. Step 4: Simplify right side
    752.84x = 804,559.46
  5. Step 5: Solve for x
    x = 804,559.46/752.84
  6. Step 6: Final answer
    x = 1,068.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.