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Finding the Fourth Proportional to 1,701.32, 2,552.34 and 824.45

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Solution

The fourth proportional to 1,701.32, 2,552.34 and 824.45 is: 1,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.32 : 2,552.34 = 824.45 : x
  2. Step 2: Convert to fraction form
    1,701.32/2,552.34 = 824.45/x
  3. Step 3: Cross multiply
    1,701.32x = 2,552.34 × 824.45
  4. Step 4: Simplify right side
    1,701.32x = 2,104,276.71
  5. Step 5: Solve for x
    x = 2,104,276.71/1,701.32
  6. Step 6: Final answer
    x = 1,236.85

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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.