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Finding the Fourth Proportional to 1,157.88, 1,588.36 and 1,095.11

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Solution

The fourth proportional to 1,157.88, 1,588.36 and 1,095.11 is: 1,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.88 : 1,588.36 = 1,095.11 : x
  2. Step 2: Convert to fraction form
    1,157.88/1,588.36 = 1,095.11/x
  3. Step 3: Cross multiply
    1,157.88x = 1,588.36 × 1,095.11
  4. Step 4: Simplify right side
    1,157.88x = 1,739,428.92
  5. Step 5: Solve for x
    x = 1,739,428.92/1,157.88
  6. Step 6: Final answer
    x = 1,502.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.