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Finding the Fourth Proportional to 684.95, 1,024.67 and 607.02

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Solution

The fourth proportional to 684.95, 1,024.67 and 607.02 is: 908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.95 : 1,024.67 = 607.02 : x
  2. Step 2: Convert to fraction form
    684.95/1,024.67 = 607.02/x
  3. Step 3: Cross multiply
    684.95x = 1,024.67 × 607.02
  4. Step 4: Simplify right side
    684.95x = 621,992.15
  5. Step 5: Solve for x
    x = 621,992.15/684.95
  6. Step 6: Final answer
    x = 908.09

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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.