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Finding the Fourth Proportional to 723.64, 1,083.40 and 655.32

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Solution

The fourth proportional to 723.64, 1,083.40 and 655.32 is: 981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 1,083.40 = 655.32 : x
  2. Step 2: Convert to fraction form
    723.64/1,083.40 = 655.32/x
  3. Step 3: Cross multiply
    723.64x = 1,083.40 × 655.32
  4. Step 4: Simplify right side
    723.64x = 709,973.69
  5. Step 5: Solve for x
    x = 709,973.69/723.64
  6. Step 6: Final answer
    x = 981.11

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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.