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Finding the Fourth Proportional to 1,038.33, 1,429.84 and 927.77

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Solution

The fourth proportional to 1,038.33, 1,429.84 and 927.77 is: 1,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.33 : 1,429.84 = 927.77 : x
  2. Step 2: Convert to fraction form
    1,038.33/1,429.84 = 927.77/x
  3. Step 3: Cross multiply
    1,038.33x = 1,429.84 × 927.77
  4. Step 4: Simplify right side
    1,038.33x = 1,326,551.45
  5. Step 5: Solve for x
    x = 1,326,551.45/1,038.33
  6. Step 6: Final answer
    x = 1,277.58

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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.