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Finding the Fourth Proportional to 803.64, 1,203.42 and 510.24

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Solution

The fourth proportional to 803.64, 1,203.42 and 510.24 is: 764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.64 : 1,203.42 = 510.24 : x
  2. Step 2: Convert to fraction form
    803.64/1,203.42 = 510.24/x
  3. Step 3: Cross multiply
    803.64x = 1,203.42 × 510.24
  4. Step 4: Simplify right side
    803.64x = 614,033.02
  5. Step 5: Solve for x
    x = 614,033.02/803.64
  6. Step 6: Final answer
    x = 764.06

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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.