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Finding the Fourth Proportional to 1,093.84, 1,641.06 and 545.36

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Solution

The fourth proportional to 1,093.84, 1,641.06 and 545.36 is: 818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.84 : 1,641.06 = 545.36 : x
  2. Step 2: Convert to fraction form
    1,093.84/1,641.06 = 545.36/x
  3. Step 3: Cross multiply
    1,093.84x = 1,641.06 × 545.36
  4. Step 4: Simplify right side
    1,093.84x = 894,968.48
  5. Step 5: Solve for x
    x = 894,968.48/1,093.84
  6. Step 6: Final answer
    x = 818.19

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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.