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Finding the Fourth Proportional to 917.82, 1,266.56 and 498.16

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Solution

The fourth proportional to 917.82, 1,266.56 and 498.16 is: 687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.82 : 1,266.56 = 498.16 : x
  2. Step 2: Convert to fraction form
    917.82/1,266.56 = 498.16/x
  3. Step 3: Cross multiply
    917.82x = 1,266.56 × 498.16
  4. Step 4: Simplify right side
    917.82x = 630,947.61
  5. Step 5: Solve for x
    x = 630,947.61/917.82
  6. Step 6: Final answer
    x = 687.44

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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.