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Finding the Fourth Proportional to 821.95, 1,232.69 and 410.52

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Solution

The fourth proportional to 821.95, 1,232.69 and 410.52 is: 615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.95 : 1,232.69 = 410.52 : x
  2. Step 2: Convert to fraction form
    821.95/1,232.69 = 410.52/x
  3. Step 3: Cross multiply
    821.95x = 1,232.69 × 410.52
  4. Step 4: Simplify right side
    821.95x = 506,043.00
  5. Step 5: Solve for x
    x = 506,043.00/821.95
  6. Step 6: Final answer
    x = 615.66

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Double scale
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1.5x scale

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.