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Finding the Fourth Proportional to 1,643.66, 2,465.61 and 473.65

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Solution

The fourth proportional to 1,643.66, 2,465.61 and 473.65 is: 710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.66 : 2,465.61 = 473.65 : x
  2. Step 2: Convert to fraction form
    1,643.66/2,465.61 = 473.65/x
  3. Step 3: Cross multiply
    1,643.66x = 2,465.61 × 473.65
  4. Step 4: Simplify right side
    1,643.66x = 1,167,836.18
  5. Step 5: Solve for x
    x = 1,167,836.18/1,643.66
  6. Step 6: Final answer
    x = 710.51

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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.