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Finding the Fourth Proportional to 1,478.61, 2,218.01 and 382.95

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Solution

The fourth proportional to 1,478.61, 2,218.01 and 382.95 is: 574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.61 : 2,218.01 = 382.95 : x
  2. Step 2: Convert to fraction form
    1,478.61/2,218.01 = 382.95/x
  3. Step 3: Cross multiply
    1,478.61x = 2,218.01 × 382.95
  4. Step 4: Simplify right side
    1,478.61x = 849,385.01
  5. Step 5: Solve for x
    x = 849,385.01/1,478.61
  6. Step 6: Final answer
    x = 574.45

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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.