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Finding the Fourth Proportional to 752.18, 1,038.12 and 543.06

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Solution

The fourth proportional to 752.18, 1,038.12 and 543.06 is: 749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.18 : 1,038.12 = 543.06 : x
  2. Step 2: Convert to fraction form
    752.18/1,038.12 = 543.06/x
  3. Step 3: Cross multiply
    752.18x = 1,038.12 × 543.06
  4. Step 4: Simplify right side
    752.18x = 563,761.45
  5. Step 5: Solve for x
    x = 563,761.45/752.18
  6. Step 6: Final answer
    x = 749.50

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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.