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Finding the Fourth Proportional to 1,688.39, 2,532.57 and 866.19

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Solution

The fourth proportional to 1,688.39, 2,532.57 and 866.19 is: 1,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.39 : 2,532.57 = 866.19 : x
  2. Step 2: Convert to fraction form
    1,688.39/2,532.57 = 866.19/x
  3. Step 3: Cross multiply
    1,688.39x = 2,532.57 × 866.19
  4. Step 4: Simplify right side
    1,688.39x = 2,193,693.06
  5. Step 5: Solve for x
    x = 2,193,693.06/1,688.39
  6. Step 6: Final answer
    x = 1,299.28

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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.