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Finding the Fourth Proportional to 912.94, 1,259.84 and 514.60

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Solution

The fourth proportional to 912.94, 1,259.84 and 514.60 is: 710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.94 : 1,259.84 = 514.60 : x
  2. Step 2: Convert to fraction form
    912.94/1,259.84 = 514.60/x
  3. Step 3: Cross multiply
    912.94x = 1,259.84 × 514.60
  4. Step 4: Simplify right side
    912.94x = 648,304.79
  5. Step 5: Solve for x
    x = 648,304.79/912.94
  6. Step 6: Final answer
    x = 710.13

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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.