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Finding the Fourth Proportional to 1,095.31, 1,643.42 and 478.70

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Solution

The fourth proportional to 1,095.31, 1,643.42 and 478.70 is: 718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.31 : 1,643.42 = 478.70 : x
  2. Step 2: Convert to fraction form
    1,095.31/1,643.42 = 478.70/x
  3. Step 3: Cross multiply
    1,095.31x = 1,643.42 × 478.70
  4. Step 4: Simplify right side
    1,095.31x = 786,705.15
  5. Step 5: Solve for x
    x = 786,705.15/1,095.31
  6. Step 6: Final answer
    x = 718.25

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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.