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Finding the Fourth Proportional to 918.41, 1,378.54 and 715.20

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Solution

The fourth proportional to 918.41, 1,378.54 and 715.20 is: 1,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.41 : 1,378.54 = 715.20 : x
  2. Step 2: Convert to fraction form
    918.41/1,378.54 = 715.20/x
  3. Step 3: Cross multiply
    918.41x = 1,378.54 × 715.20
  4. Step 4: Simplify right side
    918.41x = 985,935.14
  5. Step 5: Solve for x
    x = 985,935.14/918.41
  6. Step 6: Final answer
    x = 1,073.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.