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Finding the Fourth Proportional to 1,154.96, 1,594.38 and 735.89

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Solution

The fourth proportional to 1,154.96, 1,594.38 and 735.89 is: 1,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.96 : 1,594.38 = 735.89 : x
  2. Step 2: Convert to fraction form
    1,154.96/1,594.38 = 735.89/x
  3. Step 3: Cross multiply
    1,154.96x = 1,594.38 × 735.89
  4. Step 4: Simplify right side
    1,154.96x = 1,173,287.91
  5. Step 5: Solve for x
    x = 1,173,287.91/1,154.96
  6. Step 6: Final answer
    x = 1,015.87

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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.