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Finding the Fourth Proportional to 1,118.98, 1,545.68 and 933.08

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Solution

The fourth proportional to 1,118.98, 1,545.68 and 933.08 is: 1,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.98 : 1,545.68 = 933.08 : x
  2. Step 2: Convert to fraction form
    1,118.98/1,545.68 = 933.08/x
  3. Step 3: Cross multiply
    1,118.98x = 1,545.68 × 933.08
  4. Step 4: Simplify right side
    1,118.98x = 1,442,243.09
  5. Step 5: Solve for x
    x = 1,442,243.09/1,118.98
  6. Step 6: Final answer
    x = 1,288.89

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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.