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Finding the Fourth Proportional to 900.66, 1,242.54 and 527.70

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Solution

The fourth proportional to 900.66, 1,242.54 and 527.70 is: 728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.66 : 1,242.54 = 527.70 : x
  2. Step 2: Convert to fraction form
    900.66/1,242.54 = 527.70/x
  3. Step 3: Cross multiply
    900.66x = 1,242.54 × 527.70
  4. Step 4: Simplify right side
    900.66x = 655,688.36
  5. Step 5: Solve for x
    x = 655,688.36/900.66
  6. Step 6: Final answer
    x = 728.01

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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.