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Finding the Fourth Proportional to 917.54, 1,266.18 and 497.87

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Solution

The fourth proportional to 917.54, 1,266.18 and 497.87 is: 687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.54 : 1,266.18 = 497.87 : x
  2. Step 2: Convert to fraction form
    917.54/1,266.18 = 497.87/x
  3. Step 3: Cross multiply
    917.54x = 1,266.18 × 497.87
  4. Step 4: Simplify right side
    917.54x = 630,396.20
  5. Step 5: Solve for x
    x = 630,396.20/917.54
  6. Step 6: Final answer
    x = 687.05

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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.