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Finding the Fourth Proportional to 1,391.42, 1,920.03 and 761.95

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Solution

The fourth proportional to 1,391.42, 1,920.03 and 761.95 is: 1,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.42 : 1,920.03 = 761.95 : x
  2. Step 2: Convert to fraction form
    1,391.42/1,920.03 = 761.95/x
  3. Step 3: Cross multiply
    1,391.42x = 1,920.03 × 761.95
  4. Step 4: Simplify right side
    1,391.42x = 1,462,963.53
  5. Step 5: Solve for x
    x = 1,462,963.53/1,391.42
  6. Step 6: Final answer
    x = 1,051.42

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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.