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Finding the Fourth Proportional to 901.50, 1,244.42 and 552.20

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Solution

The fourth proportional to 901.50, 1,244.42 and 552.20 is: 762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.50 : 1,244.42 = 552.20 : x
  2. Step 2: Convert to fraction form
    901.50/1,244.42 = 552.20/x
  3. Step 3: Cross multiply
    901.50x = 1,244.42 × 552.20
  4. Step 4: Simplify right side
    901.50x = 687,159.74
  5. Step 5: Solve for x
    x = 687,159.74/901.50
  6. Step 6: Final answer
    x = 762.24

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1.5x scale

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.