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Finding the Fourth Proportional to 918.72, 1,264.32 and 773.28

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Solution

The fourth proportional to 918.72, 1,264.32 and 773.28 is: 1,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.72 : 1,264.32 = 773.28 : x
  2. Step 2: Convert to fraction form
    918.72/1,264.32 = 773.28/x
  3. Step 3: Cross multiply
    918.72x = 1,264.32 × 773.28
  4. Step 4: Simplify right side
    918.72x = 977,673.37
  5. Step 5: Solve for x
    x = 977,673.37/918.72
  6. Step 6: Final answer
    x = 1,064.17

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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.