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Finding the Fourth Proportional to 1,174.64, 1,759.93 and 899.91

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Solution

The fourth proportional to 1,174.64, 1,759.93 and 899.91 is: 1,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.64 : 1,759.93 = 899.91 : x
  2. Step 2: Convert to fraction form
    1,174.64/1,759.93 = 899.91/x
  3. Step 3: Cross multiply
    1,174.64x = 1,759.93 × 899.91
  4. Step 4: Simplify right side
    1,174.64x = 1,583,776.36
  5. Step 5: Solve for x
    x = 1,583,776.36/1,174.64
  6. Step 6: Final answer
    x = 1,348.31

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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.