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Finding the Fourth Proportional to 977.20, 1,465.78 and 400.08

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Solution

The fourth proportional to 977.20, 1,465.78 and 400.08 is: 600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.20 : 1,465.78 = 400.08 : x
  2. Step 2: Convert to fraction form
    977.20/1,465.78 = 400.08/x
  3. Step 3: Cross multiply
    977.20x = 1,465.78 × 400.08
  4. Step 4: Simplify right side
    977.20x = 586,429.26
  5. Step 5: Solve for x
    x = 586,429.26/977.20
  6. Step 6: Final answer
    x = 600.11

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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.