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Finding the Fourth Proportional to 1,025.71, 1,538.94 and 592.75

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Solution

The fourth proportional to 1,025.71, 1,538.94 and 592.75 is: 889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.71 : 1,538.94 = 592.75 : x
  2. Step 2: Convert to fraction form
    1,025.71/1,538.94 = 592.75/x
  3. Step 3: Cross multiply
    1,025.71x = 1,538.94 × 592.75
  4. Step 4: Simplify right side
    1,025.71x = 912,206.69
  5. Step 5: Solve for x
    x = 912,206.69/1,025.71
  6. Step 6: Final answer
    x = 889.34

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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.