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Finding the Fourth Proportional to 1,320.08, 1,823.24 and 877.22

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Solution

The fourth proportional to 1,320.08, 1,823.24 and 877.22 is: 1,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.08 : 1,823.24 = 877.22 : x
  2. Step 2: Convert to fraction form
    1,320.08/1,823.24 = 877.22/x
  3. Step 3: Cross multiply
    1,320.08x = 1,823.24 × 877.22
  4. Step 4: Simplify right side
    1,320.08x = 1,599,369.09
  5. Step 5: Solve for x
    x = 1,599,369.09/1,320.08
  6. Step 6: Final answer
    x = 1,211.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.