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Finding the Fourth Proportional to 752.65, 1,038.70 and 421.06

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Solution

The fourth proportional to 752.65, 1,038.70 and 421.06 is: 581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.65 : 1,038.70 = 421.06 : x
  2. Step 2: Convert to fraction form
    752.65/1,038.70 = 421.06/x
  3. Step 3: Cross multiply
    752.65x = 1,038.70 × 421.06
  4. Step 4: Simplify right side
    752.65x = 437,348.25
  5. Step 5: Solve for x
    x = 437,348.25/752.65
  6. Step 6: Final answer
    x = 581.08

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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.