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Finding the Fourth Proportional to 1,349.64, 1,862.05 and 760.05

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Solution

The fourth proportional to 1,349.64, 1,862.05 and 760.05 is: 1,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.64 : 1,862.05 = 760.05 : x
  2. Step 2: Convert to fraction form
    1,349.64/1,862.05 = 760.05/x
  3. Step 3: Cross multiply
    1,349.64x = 1,862.05 × 760.05
  4. Step 4: Simplify right side
    1,349.64x = 1,415,251.10
  5. Step 5: Solve for x
    x = 1,415,251.10/1,349.64
  6. Step 6: Final answer
    x = 1,048.61

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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.