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Finding the Fourth Proportional to 1,510.31, 2,264.06 and 585.68

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Solution

The fourth proportional to 1,510.31, 2,264.06 and 585.68 is: 877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.31 : 2,264.06 = 585.68 : x
  2. Step 2: Convert to fraction form
    1,510.31/2,264.06 = 585.68/x
  3. Step 3: Cross multiply
    1,510.31x = 2,264.06 × 585.68
  4. Step 4: Simplify right side
    1,510.31x = 1,326,004.80
  5. Step 5: Solve for x
    x = 1,326,004.80/1,510.31
  6. Step 6: Final answer
    x = 877.97

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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.