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Finding the Fourth Proportional to 1,118.55, 1,678.07 and 468.95

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Solution

The fourth proportional to 1,118.55, 1,678.07 and 468.95 is: 703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.55 : 1,678.07 = 468.95 : x
  2. Step 2: Convert to fraction form
    1,118.55/1,678.07 = 468.95/x
  3. Step 3: Cross multiply
    1,118.55x = 1,678.07 × 468.95
  4. Step 4: Simplify right side
    1,118.55x = 786,930.93
  5. Step 5: Solve for x
    x = 786,930.93/1,118.55
  6. Step 6: Final answer
    x = 703.53

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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.