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Finding the Fourth Proportional to 1,319.52, 1,819.80 and 821.64

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Solution

The fourth proportional to 1,319.52, 1,819.80 and 821.64 is: 1,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.52 : 1,819.80 = 821.64 : x
  2. Step 2: Convert to fraction form
    1,319.52/1,819.80 = 821.64/x
  3. Step 3: Cross multiply
    1,319.52x = 1,819.80 × 821.64
  4. Step 4: Simplify right side
    1,319.52x = 1,495,220.47
  5. Step 5: Solve for x
    x = 1,495,220.47/1,319.52
  6. Step 6: Final answer
    x = 1,133.15

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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.