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Finding the Fourth Proportional to 1,575.24, 2,362.56 and 479.44

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Solution

The fourth proportional to 1,575.24, 2,362.56 and 479.44 is: 719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.24 : 2,362.56 = 479.44 : x
  2. Step 2: Convert to fraction form
    1,575.24/2,362.56 = 479.44/x
  3. Step 3: Cross multiply
    1,575.24x = 2,362.56 × 479.44
  4. Step 4: Simplify right side
    1,575.24x = 1,132,705.77
  5. Step 5: Solve for x
    x = 1,132,705.77/1,575.24
  6. Step 6: Final answer
    x = 719.07

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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.