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Finding the Fourth Proportional to 1,026.73, 1,415.23 and 695.04

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Solution

The fourth proportional to 1,026.73, 1,415.23 and 695.04 is: 958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.73 : 1,415.23 = 695.04 : x
  2. Step 2: Convert to fraction form
    1,026.73/1,415.23 = 695.04/x
  3. Step 3: Cross multiply
    1,026.73x = 1,415.23 × 695.04
  4. Step 4: Simplify right side
    1,026.73x = 983,641.46
  5. Step 5: Solve for x
    x = 983,641.46/1,026.73
  6. Step 6: Final answer
    x = 958.03

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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.