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Finding the Fourth Proportional to 803.04, 1,107.95 and 471.47

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Solution

The fourth proportional to 803.04, 1,107.95 and 471.47 is: 650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.04 : 1,107.95 = 471.47 : x
  2. Step 2: Convert to fraction form
    803.04/1,107.95 = 471.47/x
  3. Step 3: Cross multiply
    803.04x = 1,107.95 × 471.47
  4. Step 4: Simplify right side
    803.04x = 522,357.29
  5. Step 5: Solve for x
    x = 522,357.29/803.04
  6. Step 6: Final answer
    x = 650.47

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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.