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Finding the Fourth Proportional to 954.23, 1,315.85 and 767.16

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Solution

The fourth proportional to 954.23, 1,315.85 and 767.16 is: 1,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.23 : 1,315.85 = 767.16 : x
  2. Step 2: Convert to fraction form
    954.23/1,315.85 = 767.16/x
  3. Step 3: Cross multiply
    954.23x = 1,315.85 × 767.16
  4. Step 4: Simplify right side
    954.23x = 1,009,463.65
  5. Step 5: Solve for x
    x = 1,009,463.65/954.23
  6. Step 6: Final answer
    x = 1,057.89

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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.