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Finding the Fourth Proportional to 1,036.18, 1,429.14 and 880.26

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Solution

The fourth proportional to 1,036.18, 1,429.14 and 880.26 is: 1,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.18 : 1,429.14 = 880.26 : x
  2. Step 2: Convert to fraction form
    1,036.18/1,429.14 = 880.26/x
  3. Step 3: Cross multiply
    1,036.18x = 1,429.14 × 880.26
  4. Step 4: Simplify right side
    1,036.18x = 1,258,014.78
  5. Step 5: Solve for x
    x = 1,258,014.78/1,036.18
  6. Step 6: Final answer
    x = 1,214.09

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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.