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Finding the Fourth Proportional to 954.33, 1,421.07 and 919.30

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Solution

The fourth proportional to 954.33, 1,421.07 and 919.30 is: 1,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.33 : 1,421.07 = 919.30 : x
  2. Step 2: Convert to fraction form
    954.33/1,421.07 = 919.30/x
  3. Step 3: Cross multiply
    954.33x = 1,421.07 × 919.30
  4. Step 4: Simplify right side
    954.33x = 1,306,389.65
  5. Step 5: Solve for x
    x = 1,306,389.65/954.33
  6. Step 6: Final answer
    x = 1,368.91

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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.