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Finding the Fourth Proportional to 1,116.07, 1,673.59 and 499.78

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Solution

The fourth proportional to 1,116.07, 1,673.59 and 499.78 is: 749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.07 : 1,673.59 = 499.78 : x
  2. Step 2: Convert to fraction form
    1,116.07/1,673.59 = 499.78/x
  3. Step 3: Cross multiply
    1,116.07x = 1,673.59 × 499.78
  4. Step 4: Simplify right side
    1,116.07x = 836,426.81
  5. Step 5: Solve for x
    x = 836,426.81/1,116.07
  6. Step 6: Final answer
    x = 749.44

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Why These Related Problems?

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