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Finding the Fourth Proportional to 1,465.17, 2,197.01 and 643.10

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Solution

The fourth proportional to 1,465.17, 2,197.01 and 643.10 is: 964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.17 : 2,197.01 = 643.10 : x
  2. Step 2: Convert to fraction form
    1,465.17/2,197.01 = 643.10/x
  3. Step 3: Cross multiply
    1,465.17x = 2,197.01 × 643.10
  4. Step 4: Simplify right side
    1,465.17x = 1,412,882.93
  5. Step 5: Solve for x
    x = 1,412,882.93/1,465.17
  6. Step 6: Final answer
    x = 964.31

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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.