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Finding the Fourth Proportional to 1,350.72, 1,864.08 and 761.04

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Solution

The fourth proportional to 1,350.72, 1,864.08 and 761.04 is: 1,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.72 : 1,864.08 = 761.04 : x
  2. Step 2: Convert to fraction form
    1,350.72/1,864.08 = 761.04/x
  3. Step 3: Cross multiply
    1,350.72x = 1,864.08 × 761.04
  4. Step 4: Simplify right side
    1,350.72x = 1,418,639.44
  5. Step 5: Solve for x
    x = 1,418,639.44/1,350.72
  6. Step 6: Final answer
    x = 1,050.28

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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.