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Finding the Fourth Proportional to 1,510.05, 2,264.61 and 585.54

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Solution

The fourth proportional to 1,510.05, 2,264.61 and 585.54 is: 878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.05 : 2,264.61 = 585.54 : x
  2. Step 2: Convert to fraction form
    1,510.05/2,264.61 = 585.54/x
  3. Step 3: Cross multiply
    1,510.05x = 2,264.61 × 585.54
  4. Step 4: Simplify right side
    1,510.05x = 1,326,019.74
  5. Step 5: Solve for x
    x = 1,326,019.74/1,510.05
  6. Step 6: Final answer
    x = 878.13

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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.