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Finding the Fourth Proportional to 1,320.34, 1,821.88 and 760.84

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Solution

The fourth proportional to 1,320.34, 1,821.88 and 760.84 is: 1,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.34 : 1,821.88 = 760.84 : x
  2. Step 2: Convert to fraction form
    1,320.34/1,821.88 = 760.84/x
  3. Step 3: Cross multiply
    1,320.34x = 1,821.88 × 760.84
  4. Step 4: Simplify right side
    1,320.34x = 1,386,159.18
  5. Step 5: Solve for x
    x = 1,386,159.18/1,320.34
  6. Step 6: Final answer
    x = 1,049.85

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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.