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Finding the Fourth Proportional to 894.99, 1,232.53 and 875.91

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Solution

The fourth proportional to 894.99, 1,232.53 and 875.91 is: 1,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.99 : 1,232.53 = 875.91 : x
  2. Step 2: Convert to fraction form
    894.99/1,232.53 = 875.91/x
  3. Step 3: Cross multiply
    894.99x = 1,232.53 × 875.91
  4. Step 4: Simplify right side
    894.99x = 1,079,585.35
  5. Step 5: Solve for x
    x = 1,079,585.35/894.99
  6. Step 6: Final answer
    x = 1,206.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.