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Finding the Fourth Proportional to 1,465.65, 2,197.50 and 685.24

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Solution

The fourth proportional to 1,465.65, 2,197.50 and 685.24 is: 1,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.65 : 2,197.50 = 685.24 : x
  2. Step 2: Convert to fraction form
    1,465.65/2,197.50 = 685.24/x
  3. Step 3: Cross multiply
    1,465.65x = 2,197.50 × 685.24
  4. Step 4: Simplify right side
    1,465.65x = 1,505,814.90
  5. Step 5: Solve for x
    x = 1,505,814.90/1,465.65
  6. Step 6: Final answer
    x = 1,027.40

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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.