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Finding the Fourth Proportional to 1,510.76, 2,264.94 and 586.28

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Solution

The fourth proportional to 1,510.76, 2,264.94 and 586.28 is: 878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.76 : 2,264.94 = 586.28 : x
  2. Step 2: Convert to fraction form
    1,510.76/2,264.94 = 586.28/x
  3. Step 3: Cross multiply
    1,510.76x = 2,264.94 × 586.28
  4. Step 4: Simplify right side
    1,510.76x = 1,327,889.02
  5. Step 5: Solve for x
    x = 1,327,889.02/1,510.76
  6. Step 6: Final answer
    x = 878.95

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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.