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Finding the Fourth Proportional to 1,287.84, 1,776.42 and 763.50

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Solution

The fourth proportional to 1,287.84, 1,776.42 and 763.50 is: 1,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.84 : 1,776.42 = 763.50 : x
  2. Step 2: Convert to fraction form
    1,287.84/1,776.42 = 763.50/x
  3. Step 3: Cross multiply
    1,287.84x = 1,776.42 × 763.50
  4. Step 4: Simplify right side
    1,287.84x = 1,356,296.67
  5. Step 5: Solve for x
    x = 1,356,296.67/1,287.84
  6. Step 6: Final answer
    x = 1,053.16

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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.