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Finding the Fourth Proportional to 917.50, 1,266.21 and 503.50

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Solution

The fourth proportional to 917.50, 1,266.21 and 503.50 is: 694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.50 : 1,266.21 = 503.50 : x
  2. Step 2: Convert to fraction form
    917.50/1,266.21 = 503.50/x
  3. Step 3: Cross multiply
    917.50x = 1,266.21 × 503.50
  4. Step 4: Simplify right side
    917.50x = 637,536.74
  5. Step 5: Solve for x
    x = 637,536.74/917.50
  6. Step 6: Final answer
    x = 694.86

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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.