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Finding the Fourth Proportional to 1,482.47, 2,223.90 and 545.45

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Solution

The fourth proportional to 1,482.47, 2,223.90 and 545.45 is: 818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.47 : 2,223.90 = 545.45 : x
  2. Step 2: Convert to fraction form
    1,482.47/2,223.90 = 545.45/x
  3. Step 3: Cross multiply
    1,482.47x = 2,223.90 × 545.45
  4. Step 4: Simplify right side
    1,482.47x = 1,213,015.14
  5. Step 5: Solve for x
    x = 1,213,015.14/1,482.47
  6. Step 6: Final answer
    x = 818.24

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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.