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Finding the Fourth Proportional to 1,423.01, 2,133.05 and 545.27

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Solution

The fourth proportional to 1,423.01, 2,133.05 and 545.27 is: 817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.01 : 2,133.05 = 545.27 : x
  2. Step 2: Convert to fraction form
    1,423.01/2,133.05 = 545.27/x
  3. Step 3: Cross multiply
    1,423.01x = 2,133.05 × 545.27
  4. Step 4: Simplify right side
    1,423.01x = 1,163,101.15
  5. Step 5: Solve for x
    x = 1,163,101.15/1,423.01
  6. Step 6: Final answer
    x = 817.35

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