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Finding the Fourth Proportional to 917.75, 1,266.50 and 503.75

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Solution

The fourth proportional to 917.75, 1,266.50 and 503.75 is: 695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.75 : 1,266.50 = 503.75 : x
  2. Step 2: Convert to fraction form
    917.75/1,266.50 = 503.75/x
  3. Step 3: Cross multiply
    917.75x = 1,266.50 × 503.75
  4. Step 4: Simplify right side
    917.75x = 637,996.86
  5. Step 5: Solve for x
    x = 637,996.86/917.75
  6. Step 6: Final answer
    x = 695.18

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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.