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Finding the Fourth Proportional to 1,250.34, 1,725.45 and 753.10

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Solution

The fourth proportional to 1,250.34, 1,725.45 and 753.10 is: 1,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.34 : 1,725.45 = 753.10 : x
  2. Step 2: Convert to fraction form
    1,250.34/1,725.45 = 753.10/x
  3. Step 3: Cross multiply
    1,250.34x = 1,725.45 × 753.10
  4. Step 4: Simplify right side
    1,250.34x = 1,299,433.49
  5. Step 5: Solve for x
    x = 1,299,433.49/1,250.34
  6. Step 6: Final answer
    x = 1,039.27

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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.