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Finding the Fourth Proportional to 1,416.31, 2,124.44 and 583.20

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Solution

The fourth proportional to 1,416.31, 2,124.44 and 583.20 is: 874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.31 : 2,124.44 = 583.20 : x
  2. Step 2: Convert to fraction form
    1,416.31/2,124.44 = 583.20/x
  3. Step 3: Cross multiply
    1,416.31x = 2,124.44 × 583.20
  4. Step 4: Simplify right side
    1,416.31x = 1,238,973.41
  5. Step 5: Solve for x
    x = 1,238,973.41/1,416.31
  6. Step 6: Final answer
    x = 874.79

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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.