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Finding the Fourth Proportional to 1,509.41, 2,264.77 and 816.57

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Solution

The fourth proportional to 1,509.41, 2,264.77 and 816.57 is: 1,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.41 : 2,264.77 = 816.57 : x
  2. Step 2: Convert to fraction form
    1,509.41/2,264.77 = 816.57/x
  3. Step 3: Cross multiply
    1,509.41x = 2,264.77 × 816.57
  4. Step 4: Simplify right side
    1,509.41x = 1,849,335.59
  5. Step 5: Solve for x
    x = 1,849,335.59/1,509.41
  6. Step 6: Final answer
    x = 1,225.20

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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.