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Finding the Fourth Proportional to 1,026.91, 1,417.26 and 695.35

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Solution

The fourth proportional to 1,026.91, 1,417.26 and 695.35 is: 959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.91 : 1,417.26 = 695.35 : x
  2. Step 2: Convert to fraction form
    1,026.91/1,417.26 = 695.35/x
  3. Step 3: Cross multiply
    1,026.91x = 1,417.26 × 695.35
  4. Step 4: Simplify right side
    1,026.91x = 985,491.74
  5. Step 5: Solve for x
    x = 985,491.74/1,026.91
  6. Step 6: Final answer
    x = 959.67

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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.