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Finding the Fourth Proportional to 583.02, 873.14 and 452.07

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Solution

The fourth proportional to 583.02, 873.14 and 452.07 is: 677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.02 : 873.14 = 452.07 : x
  2. Step 2: Convert to fraction form
    583.02/873.14 = 452.07/x
  3. Step 3: Cross multiply
    583.02x = 873.14 × 452.07
  4. Step 4: Simplify right side
    583.02x = 394,718.14
  5. Step 5: Solve for x
    x = 394,718.14/583.02
  6. Step 6: Final answer
    x = 677.02

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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.