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Finding the Fourth Proportional to 1,587.58, 2,380.96 and 547.54

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Solution

The fourth proportional to 1,587.58, 2,380.96 and 547.54 is: 821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.58 : 2,380.96 = 547.54 : x
  2. Step 2: Convert to fraction form
    1,587.58/2,380.96 = 547.54/x
  3. Step 3: Cross multiply
    1,587.58x = 2,380.96 × 547.54
  4. Step 4: Simplify right side
    1,587.58x = 1,303,670.84
  5. Step 5: Solve for x
    x = 1,303,670.84/1,587.58
  6. Step 6: Final answer
    x = 821.17

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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.