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Finding the Fourth Proportional to 1,032.09, 1,546.74 and 545.49

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Solution

The fourth proportional to 1,032.09, 1,546.74 and 545.49 is: 817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.09 : 1,546.74 = 545.49 : x
  2. Step 2: Convert to fraction form
    1,032.09/1,546.74 = 545.49/x
  3. Step 3: Cross multiply
    1,032.09x = 1,546.74 × 545.49
  4. Step 4: Simplify right side
    1,032.09x = 843,731.20
  5. Step 5: Solve for x
    x = 843,731.20/1,032.09
  6. Step 6: Final answer
    x = 817.50

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1.5x scale

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.