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Finding the Fourth Proportional to 977.96, 1,465.66 and 400.52

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Solution

The fourth proportional to 977.96, 1,465.66 and 400.52 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.96 : 1,465.66 = 400.52 : x
  2. Step 2: Convert to fraction form
    977.96/1,465.66 = 400.52/x
  3. Step 3: Cross multiply
    977.96x = 1,465.66 × 400.52
  4. Step 4: Simplify right side
    977.96x = 587,026.14
  5. Step 5: Solve for x
    x = 587,026.14/977.96
  6. Step 6: Final answer
    x = 600.26

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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.