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Finding the Fourth Proportional to 1,287.45, 1,776.71 and 763.48

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Solution

The fourth proportional to 1,287.45, 1,776.71 and 763.48 is: 1,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.45 : 1,776.71 = 763.48 : x
  2. Step 2: Convert to fraction form
    1,287.45/1,776.71 = 763.48/x
  3. Step 3: Cross multiply
    1,287.45x = 1,776.71 × 763.48
  4. Step 4: Simplify right side
    1,287.45x = 1,356,482.55
  5. Step 5: Solve for x
    x = 1,356,482.55/1,287.45
  6. Step 6: Final answer
    x = 1,053.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.