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Finding the Fourth Proportional to 912.90, 1,259.66 and 514.58

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Solution

The fourth proportional to 912.90, 1,259.66 and 514.58 is: 710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.90 : 1,259.66 = 514.58 : x
  2. Step 2: Convert to fraction form
    912.90/1,259.66 = 514.58/x
  3. Step 3: Cross multiply
    912.90x = 1,259.66 × 514.58
  4. Step 4: Simplify right side
    912.90x = 648,195.84
  5. Step 5: Solve for x
    x = 648,195.84/912.90
  6. Step 6: Final answer
    x = 710.04

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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.