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Finding the Fourth Proportional to 1,304.82, 1,800.98 and 780.76

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Solution

The fourth proportional to 1,304.82, 1,800.98 and 780.76 is: 1,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.82 : 1,800.98 = 780.76 : x
  2. Step 2: Convert to fraction form
    1,304.82/1,800.98 = 780.76/x
  3. Step 3: Cross multiply
    1,304.82x = 1,800.98 × 780.76
  4. Step 4: Simplify right side
    1,304.82x = 1,406,133.14
  5. Step 5: Solve for x
    x = 1,406,133.14/1,304.82
  6. Step 6: Final answer
    x = 1,077.65

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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.