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Finding the Fourth Proportional to 1,349.48, 1,862.24 and 760

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Solution

The fourth proportional to 1,349.48, 1,862.24 and 760 is: 1,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.48 : 1,862.24 = 760 : x
  2. Step 2: Convert to fraction form
    1,349.48/1,862.24 = 760/x
  3. Step 3: Cross multiply
    1,349.48x = 1,862.24 × 760
  4. Step 4: Simplify right side
    1,349.48x = 1,415,302.40
  5. Step 5: Solve for x
    x = 1,415,302.40/1,349.48
  6. Step 6: Final answer
    x = 1,048.78

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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.