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Finding the Fourth Proportional to 1,145.24, 1,718.48 and 496.02

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Solution

The fourth proportional to 1,145.24, 1,718.48 and 496.02 is: 744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.24 : 1,718.48 = 496.02 : x
  2. Step 2: Convert to fraction form
    1,145.24/1,718.48 = 496.02/x
  3. Step 3: Cross multiply
    1,145.24x = 1,718.48 × 496.02
  4. Step 4: Simplify right side
    1,145.24x = 852,408.13
  5. Step 5: Solve for x
    x = 852,408.13/1,145.24
  6. Step 6: Final answer
    x = 744.31

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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.