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Finding the Fourth Proportional to 900.45, 1,242.63 and 527.65

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Solution

The fourth proportional to 900.45, 1,242.63 and 527.65 is: 728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.45 : 1,242.63 = 527.65 : x
  2. Step 2: Convert to fraction form
    900.45/1,242.63 = 527.65/x
  3. Step 3: Cross multiply
    900.45x = 1,242.63 × 527.65
  4. Step 4: Simplify right side
    900.45x = 655,664.87
  5. Step 5: Solve for x
    x = 655,664.87/900.45
  6. Step 6: Final answer
    x = 728.16

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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.