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Finding the Fourth Proportional to 1,216.36, 1,822.86 and 638.08

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Solution

The fourth proportional to 1,216.36, 1,822.86 and 638.08 is: 956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.36 : 1,822.86 = 638.08 : x
  2. Step 2: Convert to fraction form
    1,216.36/1,822.86 = 638.08/x
  3. Step 3: Cross multiply
    1,216.36x = 1,822.86 × 638.08
  4. Step 4: Simplify right side
    1,216.36x = 1,163,130.51
  5. Step 5: Solve for x
    x = 1,163,130.51/1,216.36
  6. Step 6: Final answer
    x = 956.24

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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.