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Finding the Fourth Proportional to 1,054.78, 1,454.26 and 695.82

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Solution

The fourth proportional to 1,054.78, 1,454.26 and 695.82 is: 959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.78 : 1,454.26 = 695.82 : x
  2. Step 2: Convert to fraction form
    1,054.78/1,454.26 = 695.82/x
  3. Step 3: Cross multiply
    1,054.78x = 1,454.26 × 695.82
  4. Step 4: Simplify right side
    1,054.78x = 1,011,903.19
  5. Step 5: Solve for x
    x = 1,011,903.19/1,054.78
  6. Step 6: Final answer
    x = 959.35

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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.