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Finding the Fourth Proportional to 741.64, 1,022.44 and 508.36

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Solution

The fourth proportional to 741.64, 1,022.44 and 508.36 is: 700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.64 : 1,022.44 = 508.36 : x
  2. Step 2: Convert to fraction form
    741.64/1,022.44 = 508.36/x
  3. Step 3: Cross multiply
    741.64x = 1,022.44 × 508.36
  4. Step 4: Simplify right side
    741.64x = 519,767.60
  5. Step 5: Solve for x
    x = 519,767.60/741.64
  6. Step 6: Final answer
    x = 700.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.