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Finding the Fourth Proportional to 1,150.12, 1,585.64 and 914.88

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Solution

The fourth proportional to 1,150.12, 1,585.64 and 914.88 is: 1,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.12 : 1,585.64 = 914.88 : x
  2. Step 2: Convert to fraction form
    1,150.12/1,585.64 = 914.88/x
  3. Step 3: Cross multiply
    1,150.12x = 1,585.64 × 914.88
  4. Step 4: Simplify right side
    1,150.12x = 1,450,670.32
  5. Step 5: Solve for x
    x = 1,450,670.32/1,150.12
  6. Step 6: Final answer
    x = 1,261.32

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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.