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Finding the Fourth Proportional to 917.48, 1,266.08 and 519.16

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Solution

The fourth proportional to 917.48, 1,266.08 and 519.16 is: 716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.48 : 1,266.08 = 519.16 : x
  2. Step 2: Convert to fraction form
    917.48/1,266.08 = 519.16/x
  3. Step 3: Cross multiply
    917.48x = 1,266.08 × 519.16
  4. Step 4: Simplify right side
    917.48x = 657,298.09
  5. Step 5: Solve for x
    x = 657,298.09/917.48
  6. Step 6: Final answer
    x = 716.42

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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.