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Finding the Fourth Proportional to 1,112.48, 1,666.58 and 624.05

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Solution

The fourth proportional to 1,112.48, 1,666.58 and 624.05 is: 934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.48 : 1,666.58 = 624.05 : x
  2. Step 2: Convert to fraction form
    1,112.48/1,666.58 = 624.05/x
  3. Step 3: Cross multiply
    1,112.48x = 1,666.58 × 624.05
  4. Step 4: Simplify right side
    1,112.48x = 1,040,031.86
  5. Step 5: Solve for x
    x = 1,040,031.86/1,112.48
  6. Step 6: Final answer
    x = 934.87

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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.