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Finding the Fourth Proportional to 1,048.28, 1,573.02 and 463.59

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Solution

The fourth proportional to 1,048.28, 1,573.02 and 463.59 is: 695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.28 : 1,573.02 = 463.59 : x
  2. Step 2: Convert to fraction form
    1,048.28/1,573.02 = 463.59/x
  3. Step 3: Cross multiply
    1,048.28x = 1,573.02 × 463.59
  4. Step 4: Simplify right side
    1,048.28x = 729,236.34
  5. Step 5: Solve for x
    x = 729,236.34/1,048.28
  6. Step 6: Final answer
    x = 695.65

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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.