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Finding the Fourth Proportional to 912.53, 1,259.24 and 514.26

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Solution

The fourth proportional to 912.53, 1,259.24 and 514.26 is: 709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.53 : 1,259.24 = 514.26 : x
  2. Step 2: Convert to fraction form
    912.53/1,259.24 = 514.26/x
  3. Step 3: Cross multiply
    912.53x = 1,259.24 × 514.26
  4. Step 4: Simplify right side
    912.53x = 647,576.76
  5. Step 5: Solve for x
    x = 647,576.76/912.53
  6. Step 6: Final answer
    x = 709.65

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Double scale
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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.