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Finding the Fourth Proportional to 1,361.19, 1,878.95 and 864.15

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Solution

The fourth proportional to 1,361.19, 1,878.95 and 864.15 is: 1,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.19 : 1,878.95 = 864.15 : x
  2. Step 2: Convert to fraction form
    1,361.19/1,878.95 = 864.15/x
  3. Step 3: Cross multiply
    1,361.19x = 1,878.95 × 864.15
  4. Step 4: Simplify right side
    1,361.19x = 1,623,690.32
  5. Step 5: Solve for x
    x = 1,623,690.32/1,361.19
  6. Step 6: Final answer
    x = 1,192.85

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1.5x scale

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.