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Finding the Fourth Proportional to 977.20, 1,466.40 and 400.07

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Solution

The fourth proportional to 977.20, 1,466.40 and 400.07 is: 600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.20 : 1,466.40 = 400.07 : x
  2. Step 2: Convert to fraction form
    977.20/1,466.40 = 400.07/x
  3. Step 3: Cross multiply
    977.20x = 1,466.40 × 400.07
  4. Step 4: Simplify right side
    977.20x = 586,662.65
  5. Step 5: Solve for x
    x = 586,662.65/977.20
  6. Step 6: Final answer
    x = 600.35

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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.