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Finding the Fourth Proportional to 1,477.13, 2,215.71 and 451.13

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Solution

The fourth proportional to 1,477.13, 2,215.71 and 451.13 is: 676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.13 : 2,215.71 = 451.13 : x
  2. Step 2: Convert to fraction form
    1,477.13/2,215.71 = 451.13/x
  3. Step 3: Cross multiply
    1,477.13x = 2,215.71 × 451.13
  4. Step 4: Simplify right side
    1,477.13x = 999,562.17
  5. Step 5: Solve for x
    x = 999,562.17/1,477.13
  6. Step 6: Final answer
    x = 676.69

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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.