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Finding the Fourth Proportional to 1,465.58, 2,198.30 and 478.32

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Solution

The fourth proportional to 1,465.58, 2,198.30 and 478.32 is: 717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.58 : 2,198.30 = 478.32 : x
  2. Step 2: Convert to fraction form
    1,465.58/2,198.30 = 478.32/x
  3. Step 3: Cross multiply
    1,465.58x = 2,198.30 × 478.32
  4. Step 4: Simplify right side
    1,465.58x = 1,051,488.46
  5. Step 5: Solve for x
    x = 1,051,488.46/1,465.58
  6. Step 6: Final answer
    x = 717.46

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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.