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Finding the Fourth Proportional to 1,688.23, 2,532.47 and 810.92

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Solution

The fourth proportional to 1,688.23, 2,532.47 and 810.92 is: 1,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.23 : 2,532.47 = 810.92 : x
  2. Step 2: Convert to fraction form
    1,688.23/2,532.47 = 810.92/x
  3. Step 3: Cross multiply
    1,688.23x = 2,532.47 × 810.92
  4. Step 4: Simplify right side
    1,688.23x = 2,053,630.57
  5. Step 5: Solve for x
    x = 2,053,630.57/1,688.23
  6. Step 6: Final answer
    x = 1,216.44

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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.