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Finding the Fourth Proportional to 1,154.97, 1,594.04 and 735.50

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Solution

The fourth proportional to 1,154.97, 1,594.04 and 735.50 is: 1,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.97 : 1,594.04 = 735.50 : x
  2. Step 2: Convert to fraction form
    1,154.97/1,594.04 = 735.50/x
  3. Step 3: Cross multiply
    1,154.97x = 1,594.04 × 735.50
  4. Step 4: Simplify right side
    1,154.97x = 1,172,416.73
  5. Step 5: Solve for x
    x = 1,172,416.73/1,154.97
  6. Step 6: Final answer
    x = 1,015.11

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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.