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Finding the Fourth Proportional to 1,118.19, 1,677.36 and 296.45

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Solution

The fourth proportional to 1,118.19, 1,677.36 and 296.45 is: 444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.19 : 1,677.36 = 296.45 : x
  2. Step 2: Convert to fraction form
    1,118.19/1,677.36 = 296.45/x
  3. Step 3: Cross multiply
    1,118.19x = 1,677.36 × 296.45
  4. Step 4: Simplify right side
    1,118.19x = 497,253.37
  5. Step 5: Solve for x
    x = 497,253.37/1,118.19
  6. Step 6: Final answer
    x = 444.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.