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Finding the Fourth Proportional to 1,014.48, 1,401.03 and 752.04

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Solution

The fourth proportional to 1,014.48, 1,401.03 and 752.04 is: 1,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.48 : 1,401.03 = 752.04 : x
  2. Step 2: Convert to fraction form
    1,014.48/1,401.03 = 752.04/x
  3. Step 3: Cross multiply
    1,014.48x = 1,401.03 × 752.04
  4. Step 4: Simplify right side
    1,014.48x = 1,053,630.60
  5. Step 5: Solve for x
    x = 1,053,630.60/1,014.48
  6. Step 6: Final answer
    x = 1,038.59

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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.