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Finding the Fourth Proportional to 867.30, 1,294.24 and 775.01

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Solution

The fourth proportional to 867.30, 1,294.24 and 775.01 is: 1,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.30 : 1,294.24 = 775.01 : x
  2. Step 2: Convert to fraction form
    867.30/1,294.24 = 775.01/x
  3. Step 3: Cross multiply
    867.30x = 1,294.24 × 775.01
  4. Step 4: Simplify right side
    867.30x = 1,003,048.94
  5. Step 5: Solve for x
    x = 1,003,048.94/867.30
  6. Step 6: Final answer
    x = 1,156.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.