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Finding the Fourth Proportional to 1,203.24, 1,803.65 and 654.87

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Solution

The fourth proportional to 1,203.24, 1,803.65 and 654.87 is: 981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.24 : 1,803.65 = 654.87 : x
  2. Step 2: Convert to fraction form
    1,203.24/1,803.65 = 654.87/x
  3. Step 3: Cross multiply
    1,203.24x = 1,803.65 × 654.87
  4. Step 4: Simplify right side
    1,203.24x = 1,181,156.28
  5. Step 5: Solve for x
    x = 1,181,156.28/1,203.24
  6. Step 6: Final answer
    x = 981.65

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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.