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Finding the Fourth Proportional to 1,116.53, 1,674.97 and 500.23

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Solution

The fourth proportional to 1,116.53, 1,674.97 and 500.23 is: 750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.53 : 1,674.97 = 500.23 : x
  2. Step 2: Convert to fraction form
    1,116.53/1,674.97 = 500.23/x
  3. Step 3: Cross multiply
    1,116.53x = 1,674.97 × 500.23
  4. Step 4: Simplify right side
    1,116.53x = 837,864.81
  5. Step 5: Solve for x
    x = 837,864.81/1,116.53
  6. Step 6: Final answer
    x = 750.42

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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.