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Finding the Fourth Proportional to 1,027.57, 1,417.60 and 695.88

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Solution

The fourth proportional to 1,027.57, 1,417.60 and 695.88 is: 960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.57 : 1,417.60 = 695.88 : x
  2. Step 2: Convert to fraction form
    1,027.57/1,417.60 = 695.88/x
  3. Step 3: Cross multiply
    1,027.57x = 1,417.60 × 695.88
  4. Step 4: Simplify right side
    1,027.57x = 986,476.01
  5. Step 5: Solve for x
    x = 986,476.01/1,027.57
  6. Step 6: Final answer
    x = 960.01

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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.