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Finding the Fourth Proportional to 1,509.57, 2,264.02 and 584.82

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Solution

The fourth proportional to 1,509.57, 2,264.02 and 584.82 is: 877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.57 : 2,264.02 = 584.82 : x
  2. Step 2: Convert to fraction form
    1,509.57/2,264.02 = 584.82/x
  3. Step 3: Cross multiply
    1,509.57x = 2,264.02 × 584.82
  4. Step 4: Simplify right side
    1,509.57x = 1,324,042.71
  5. Step 5: Solve for x
    x = 1,324,042.71/1,509.57
  6. Step 6: Final answer
    x = 877.10

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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.