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Finding the Fourth Proportional to 900.16, 1,242.23 and 527.07

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Solution

The fourth proportional to 900.16, 1,242.23 and 527.07 is: 727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.16 : 1,242.23 = 527.07 : x
  2. Step 2: Convert to fraction form
    900.16/1,242.23 = 527.07/x
  3. Step 3: Cross multiply
    900.16x = 1,242.23 × 527.07
  4. Step 4: Simplify right side
    900.16x = 654,742.17
  5. Step 5: Solve for x
    x = 654,742.17/900.16
  6. Step 6: Final answer
    x = 727.36

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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.