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Finding the Fourth Proportional to 1,095.10, 1,641.73 and 478.33

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Solution

The fourth proportional to 1,095.10, 1,641.73 and 478.33 is: 717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.10 : 1,641.73 = 478.33 : x
  2. Step 2: Convert to fraction form
    1,095.10/1,641.73 = 478.33/x
  3. Step 3: Cross multiply
    1,095.10x = 1,641.73 × 478.33
  4. Step 4: Simplify right side
    1,095.10x = 785,290.42
  5. Step 5: Solve for x
    x = 785,290.42/1,095.10
  6. Step 6: Final answer
    x = 717.10

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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.