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Finding the Fourth Proportional to 1,527.95, 2,288.28 and 876.71

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Solution

The fourth proportional to 1,527.95, 2,288.28 and 876.71 is: 1,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.95 : 2,288.28 = 876.71 : x
  2. Step 2: Convert to fraction form
    1,527.95/2,288.28 = 876.71/x
  3. Step 3: Cross multiply
    1,527.95x = 2,288.28 × 876.71
  4. Step 4: Simplify right side
    1,527.95x = 2,006,157.96
  5. Step 5: Solve for x
    x = 2,006,157.96/1,527.95
  6. Step 6: Final answer
    x = 1,312.97

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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.