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Finding the Fourth Proportional to 1,287.38, 1,776.60 and 697.93

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Solution

The fourth proportional to 1,287.38, 1,776.60 and 697.93 is: 963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.38 : 1,776.60 = 697.93 : x
  2. Step 2: Convert to fraction form
    1,287.38/1,776.60 = 697.93/x
  3. Step 3: Cross multiply
    1,287.38x = 1,776.60 × 697.93
  4. Step 4: Simplify right side
    1,287.38x = 1,239,938.00
  5. Step 5: Solve for x
    x = 1,239,938.00/1,287.38
  6. Step 6: Final answer
    x = 963.15

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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.