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Finding the Fourth Proportional to 1,463.86, 2,196.39 and 598.26

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Solution

The fourth proportional to 1,463.86, 2,196.39 and 598.26 is: 897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.86 : 2,196.39 = 598.26 : x
  2. Step 2: Convert to fraction form
    1,463.86/2,196.39 = 598.26/x
  3. Step 3: Cross multiply
    1,463.86x = 2,196.39 × 598.26
  4. Step 4: Simplify right side
    1,463.86x = 1,314,012.28
  5. Step 5: Solve for x
    x = 1,314,012.28/1,463.86
  6. Step 6: Final answer
    x = 897.64

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1.5x scale

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.