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Finding the Fourth Proportional to 1,233.53, 1,703.28 and 1,140.28

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Solution

The fourth proportional to 1,233.53, 1,703.28 and 1,140.28 is: 1,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.53 : 1,703.28 = 1,140.28 : x
  2. Step 2: Convert to fraction form
    1,233.53/1,703.28 = 1,140.28/x
  3. Step 3: Cross multiply
    1,233.53x = 1,703.28 × 1,140.28
  4. Step 4: Simplify right side
    1,233.53x = 1,942,209.72
  5. Step 5: Solve for x
    x = 1,942,209.72/1,233.53
  6. Step 6: Final answer
    x = 1,574.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.