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Finding the Fourth Proportional to 1,444.58, 2,167.14 and 507.62

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Solution

The fourth proportional to 1,444.58, 2,167.14 and 507.62 is: 761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.58 : 2,167.14 = 507.62 : x
  2. Step 2: Convert to fraction form
    1,444.58/2,167.14 = 507.62/x
  3. Step 3: Cross multiply
    1,444.58x = 2,167.14 × 507.62
  4. Step 4: Simplify right side
    1,444.58x = 1,100,083.61
  5. Step 5: Solve for x
    x = 1,100,083.61/1,444.58
  6. Step 6: Final answer
    x = 761.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.