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Finding the Fourth Proportional to 1,049.01, 1,573.63 and 463.76

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Solution

The fourth proportional to 1,049.01, 1,573.63 and 463.76 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.01 : 1,573.63 = 463.76 : x
  2. Step 2: Convert to fraction form
    1,049.01/1,573.63 = 463.76/x
  3. Step 3: Cross multiply
    1,049.01x = 1,573.63 × 463.76
  4. Step 4: Simplify right side
    1,049.01x = 729,783.52
  5. Step 5: Solve for x
    x = 729,783.52/1,049.01
  6. Step 6: Final answer
    x = 695.69

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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.