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Finding the Fourth Proportional to 752.84, 1,038.88 and 421.30

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Solution

The fourth proportional to 752.84, 1,038.88 and 421.30 is: 581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.84 : 1,038.88 = 421.30 : x
  2. Step 2: Convert to fraction form
    752.84/1,038.88 = 421.30/x
  3. Step 3: Cross multiply
    752.84x = 1,038.88 × 421.30
  4. Step 4: Simplify right side
    752.84x = 437,679.60
  5. Step 5: Solve for x
    x = 437,679.60/752.84
  6. Step 6: Final answer
    x = 581.37

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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.