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Finding the Fourth Proportional to 750.71, 1,125.54 and 288.10

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Solution

The fourth proportional to 750.71, 1,125.54 and 288.10 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.71 : 1,125.54 = 288.10 : x
  2. Step 2: Convert to fraction form
    750.71/1,125.54 = 288.10/x
  3. Step 3: Cross multiply
    750.71x = 1,125.54 × 288.10
  4. Step 4: Simplify right side
    750.71x = 324,268.07
  5. Step 5: Solve for x
    x = 324,268.07/750.71
  6. Step 6: Final answer
    x = 431.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.