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Finding the Fourth Proportional to 917.42, 1,266.04 and 497.77

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Solution

The fourth proportional to 917.42, 1,266.04 and 497.77 is: 686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.42 : 1,266.04 = 497.77 : x
  2. Step 2: Convert to fraction form
    917.42/1,266.04 = 497.77/x
  3. Step 3: Cross multiply
    917.42x = 1,266.04 × 497.77
  4. Step 4: Simplify right side
    917.42x = 630,194.19
  5. Step 5: Solve for x
    x = 630,194.19/917.42
  6. Step 6: Final answer
    x = 686.92

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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.