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Finding the Fourth Proportional to 821.52, 1,133.70 and 527.10

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Solution

The fourth proportional to 821.52, 1,133.70 and 527.10 is: 727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.52 : 1,133.70 = 527.10 : x
  2. Step 2: Convert to fraction form
    821.52/1,133.70 = 527.10/x
  3. Step 3: Cross multiply
    821.52x = 1,133.70 × 527.10
  4. Step 4: Simplify right side
    821.52x = 597,573.27
  5. Step 5: Solve for x
    x = 597,573.27/821.52
  6. Step 6: Final answer
    x = 727.40

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Double scale
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1.5x scale

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.