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Finding the Fourth Proportional to 1,643.32, 2,465.01 and 547.69

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Solution

The fourth proportional to 1,643.32, 2,465.01 and 547.69 is: 821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.32 : 2,465.01 = 547.69 : x
  2. Step 2: Convert to fraction form
    1,643.32/2,465.01 = 547.69/x
  3. Step 3: Cross multiply
    1,643.32x = 2,465.01 × 547.69
  4. Step 4: Simplify right side
    1,643.32x = 1,350,051.31
  5. Step 5: Solve for x
    x = 1,350,051.31/1,643.32
  6. Step 6: Final answer
    x = 821.54

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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.