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Finding the Fourth Proportional to 1,030.62, 1,549.85 and 822.86

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Solution

The fourth proportional to 1,030.62, 1,549.85 and 822.86 is: 1,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.62 : 1,549.85 = 822.86 : x
  2. Step 2: Convert to fraction form
    1,030.62/1,549.85 = 822.86/x
  3. Step 3: Cross multiply
    1,030.62x = 1,549.85 × 822.86
  4. Step 4: Simplify right side
    1,030.62x = 1,275,297.71
  5. Step 5: Solve for x
    x = 1,275,297.71/1,030.62
  6. Step 6: Final answer
    x = 1,237.41

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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.