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Finding the Fourth Proportional to 1,133.89, 1,565.66 and 756.14

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Solution

The fourth proportional to 1,133.89, 1,565.66 and 756.14 is: 1,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.89 : 1,565.66 = 756.14 : x
  2. Step 2: Convert to fraction form
    1,133.89/1,565.66 = 756.14/x
  3. Step 3: Cross multiply
    1,133.89x = 1,565.66 × 756.14
  4. Step 4: Simplify right side
    1,133.89x = 1,183,852.21
  5. Step 5: Solve for x
    x = 1,183,852.21/1,133.89
  6. Step 6: Final answer
    x = 1,044.06

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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.