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Finding the Fourth Proportional to 1,095.57, 1,641.54 and 478.35

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Solution

The fourth proportional to 1,095.57, 1,641.54 and 478.35 is: 716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.57 : 1,641.54 = 478.35 : x
  2. Step 2: Convert to fraction form
    1,095.57/1,641.54 = 478.35/x
  3. Step 3: Cross multiply
    1,095.57x = 1,641.54 × 478.35
  4. Step 4: Simplify right side
    1,095.57x = 785,230.66
  5. Step 5: Solve for x
    x = 785,230.66/1,095.57
  6. Step 6: Final answer
    x = 716.73

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Why These Related Problems?

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