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Finding the Fourth Proportional to 1,349.84, 1,862.70 and 760.41

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Solution

The fourth proportional to 1,349.84, 1,862.70 and 760.41 is: 1,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.84 : 1,862.70 = 760.41 : x
  2. Step 2: Convert to fraction form
    1,349.84/1,862.70 = 760.41/x
  3. Step 3: Cross multiply
    1,349.84x = 1,862.70 × 760.41
  4. Step 4: Simplify right side
    1,349.84x = 1,416,415.71
  5. Step 5: Solve for x
    x = 1,416,415.71/1,349.84
  6. Step 6: Final answer
    x = 1,049.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.