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Finding the Fourth Proportional to 1,349.54, 1,862.35 and 760.06

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Solution

The fourth proportional to 1,349.54, 1,862.35 and 760.06 is: 1,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.54 : 1,862.35 = 760.06 : x
  2. Step 2: Convert to fraction form
    1,349.54/1,862.35 = 760.06/x
  3. Step 3: Cross multiply
    1,349.54x = 1,862.35 × 760.06
  4. Step 4: Simplify right side
    1,349.54x = 1,415,497.74
  5. Step 5: Solve for x
    x = 1,415,497.74/1,349.54
  6. Step 6: Final answer
    x = 1,048.87

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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.