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Finding the Fourth Proportional to 1,194.74, 1,648.98 and 752.34

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Solution

The fourth proportional to 1,194.74, 1,648.98 and 752.34 is: 1,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.74 : 1,648.98 = 752.34 : x
  2. Step 2: Convert to fraction form
    1,194.74/1,648.98 = 752.34/x
  3. Step 3: Cross multiply
    1,194.74x = 1,648.98 × 752.34
  4. Step 4: Simplify right side
    1,194.74x = 1,240,593.61
  5. Step 5: Solve for x
    x = 1,240,593.61/1,194.74
  6. Step 6: Final answer
    x = 1,038.38

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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.