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Finding the Fourth Proportional to 883.58, 1,322.31 and 536.72

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Solution

The fourth proportional to 883.58, 1,322.31 and 536.72 is: 803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.58 : 1,322.31 = 536.72 : x
  2. Step 2: Convert to fraction form
    883.58/1,322.31 = 536.72/x
  3. Step 3: Cross multiply
    883.58x = 1,322.31 × 536.72
  4. Step 4: Simplify right side
    883.58x = 709,710.22
  5. Step 5: Solve for x
    x = 709,710.22/883.58
  6. Step 6: Final answer
    x = 803.22

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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.