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Finding the Fourth Proportional to 1,027.74, 1,417.75 and 687.16

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Solution

The fourth proportional to 1,027.74, 1,417.75 and 687.16 is: 947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.74 : 1,417.75 = 687.16 : x
  2. Step 2: Convert to fraction form
    1,027.74/1,417.75 = 687.16/x
  3. Step 3: Cross multiply
    1,027.74x = 1,417.75 × 687.16
  4. Step 4: Simplify right side
    1,027.74x = 974,221.02
  5. Step 5: Solve for x
    x = 974,221.02/1,027.74
  6. Step 6: Final answer
    x = 947.93

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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.