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Finding the Fourth Proportional to 1,574.89, 2,362.23 and 479.27

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Solution

The fourth proportional to 1,574.89, 2,362.23 and 479.27 is: 718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.89 : 2,362.23 = 479.27 : x
  2. Step 2: Convert to fraction form
    1,574.89/2,362.23 = 479.27/x
  3. Step 3: Cross multiply
    1,574.89x = 2,362.23 × 479.27
  4. Step 4: Simplify right side
    1,574.89x = 1,132,134.16
  5. Step 5: Solve for x
    x = 1,132,134.16/1,574.89
  6. Step 6: Final answer
    x = 718.87

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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.