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Finding the Fourth Proportional to 1,026.88, 1,417.64 and 695.76

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Solution

The fourth proportional to 1,026.88, 1,417.64 and 695.76 is: 960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.88 : 1,417.64 = 695.76 : x
  2. Step 2: Convert to fraction form
    1,026.88/1,417.64 = 695.76/x
  3. Step 3: Cross multiply
    1,026.88x = 1,417.64 × 695.76
  4. Step 4: Simplify right side
    1,026.88x = 986,337.21
  5. Step 5: Solve for x
    x = 986,337.21/1,026.88
  6. Step 6: Final answer
    x = 960.52

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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.