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Finding the Fourth Proportional to 723.02, 1,083.15 and 649.10

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Solution

The fourth proportional to 723.02, 1,083.15 and 649.10 is: 972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.02 : 1,083.15 = 649.10 : x
  2. Step 2: Convert to fraction form
    723.02/1,083.15 = 649.10/x
  3. Step 3: Cross multiply
    723.02x = 1,083.15 × 649.10
  4. Step 4: Simplify right side
    723.02x = 703,075.37
  5. Step 5: Solve for x
    x = 703,075.37/723.02
  6. Step 6: Final answer
    x = 972.42

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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.