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Finding the Fourth Proportional to 1,509.32, 2,264.43 and 686.91

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Solution

The fourth proportional to 1,509.32, 2,264.43 and 686.91 is: 1,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.32 : 2,264.43 = 686.91 : x
  2. Step 2: Convert to fraction form
    1,509.32/2,264.43 = 686.91/x
  3. Step 3: Cross multiply
    1,509.32x = 2,264.43 × 686.91
  4. Step 4: Simplify right side
    1,509.32x = 1,555,459.61
  5. Step 5: Solve for x
    x = 1,555,459.61/1,509.32
  6. Step 6: Final answer
    x = 1,030.57

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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.