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Finding the Fourth Proportional to 977.39, 1,466.08 and 400.27

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Solution

The fourth proportional to 977.39, 1,466.08 and 400.27 is: 600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.39 : 1,466.08 = 400.27 : x
  2. Step 2: Convert to fraction form
    977.39/1,466.08 = 400.27/x
  3. Step 3: Cross multiply
    977.39x = 1,466.08 × 400.27
  4. Step 4: Simplify right side
    977.39x = 586,818.51
  5. Step 5: Solve for x
    x = 586,818.51/977.39
  6. Step 6: Final answer
    x = 600.39

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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.