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Finding the Fourth Proportional to 912.58, 1,259.24 and 514.18

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Solution

The fourth proportional to 912.58, 1,259.24 and 514.18 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.58 : 1,259.24 = 514.18 : x
  2. Step 2: Convert to fraction form
    912.58/1,259.24 = 514.18/x
  3. Step 3: Cross multiply
    912.58x = 1,259.24 × 514.18
  4. Step 4: Simplify right side
    912.58x = 647,476.02
  5. Step 5: Solve for x
    x = 647,476.02/912.58
  6. Step 6: Final answer
    x = 709.50

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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.