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Finding the Fourth Proportional to 1,643.08, 2,465.16 and 777.28

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Solution

The fourth proportional to 1,643.08, 2,465.16 and 777.28 is: 1,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.08 : 2,465.16 = 777.28 : x
  2. Step 2: Convert to fraction form
    1,643.08/2,465.16 = 777.28/x
  3. Step 3: Cross multiply
    1,643.08x = 2,465.16 × 777.28
  4. Step 4: Simplify right side
    1,643.08x = 1,916,119.56
  5. Step 5: Solve for x
    x = 1,916,119.56/1,643.08
  6. Step 6: Final answer
    x = 1,166.18

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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.