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Finding the Fourth Proportional to 1,465.26, 2,197.48 and 643.32

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Solution

The fourth proportional to 1,465.26, 2,197.48 and 643.32 is: 964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.26 : 2,197.48 = 643.32 : x
  2. Step 2: Convert to fraction form
    1,465.26/2,197.48 = 643.32/x
  3. Step 3: Cross multiply
    1,465.26x = 2,197.48 × 643.32
  4. Step 4: Simplify right side
    1,465.26x = 1,413,682.83
  5. Step 5: Solve for x
    x = 1,413,682.83/1,465.26
  6. Step 6: Final answer
    x = 964.80

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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.