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Finding the Fourth Proportional to 1,248.65, 1,722.77 and 776.89

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Solution

The fourth proportional to 1,248.65, 1,722.77 and 776.89 is: 1,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.65 : 1,722.77 = 776.89 : x
  2. Step 2: Convert to fraction form
    1,248.65/1,722.77 = 776.89/x
  3. Step 3: Cross multiply
    1,248.65x = 1,722.77 × 776.89
  4. Step 4: Simplify right side
    1,248.65x = 1,338,402.79
  5. Step 5: Solve for x
    x = 1,338,402.79/1,248.65
  6. Step 6: Final answer
    x = 1,071.88

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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.