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Finding the Fourth Proportional to 1,283.19, 1,925.32 and 821.49

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Solution

The fourth proportional to 1,283.19, 1,925.32 and 821.49 is: 1,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.19 : 1,925.32 = 821.49 : x
  2. Step 2: Convert to fraction form
    1,283.19/1,925.32 = 821.49/x
  3. Step 3: Cross multiply
    1,283.19x = 1,925.32 × 821.49
  4. Step 4: Simplify right side
    1,283.19x = 1,581,631.13
  5. Step 5: Solve for x
    x = 1,581,631.13/1,283.19
  6. Step 6: Final answer
    x = 1,232.58

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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.