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Finding the Fourth Proportional to 1,643.16, 2,464.86 and 473.15

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Solution

The fourth proportional to 1,643.16, 2,464.86 and 473.15 is: 709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.16 : 2,464.86 = 473.15 : x
  2. Step 2: Convert to fraction form
    1,643.16/2,464.86 = 473.15/x
  3. Step 3: Cross multiply
    1,643.16x = 2,464.86 × 473.15
  4. Step 4: Simplify right side
    1,643.16x = 1,166,248.51
  5. Step 5: Solve for x
    x = 1,166,248.51/1,643.16
  6. Step 6: Final answer
    x = 709.76

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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.