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Finding the Fourth Proportional to 917.02, 1,265.47 and 503.02

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Solution

The fourth proportional to 917.02, 1,265.47 and 503.02 is: 694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.02 : 1,265.47 = 503.02 : x
  2. Step 2: Convert to fraction form
    917.02/1,265.47 = 503.02/x
  3. Step 3: Cross multiply
    917.02x = 1,265.47 × 503.02
  4. Step 4: Simplify right side
    917.02x = 636,556.72
  5. Step 5: Solve for x
    x = 636,556.72/917.02
  6. Step 6: Final answer
    x = 694.16

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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.