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Finding the Fourth Proportional to 1,594.34, 2,388.05 and 770.88

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Solution

The fourth proportional to 1,594.34, 2,388.05 and 770.88 is: 1,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.34 : 2,388.05 = 770.88 : x
  2. Step 2: Convert to fraction form
    1,594.34/2,388.05 = 770.88/x
  3. Step 3: Cross multiply
    1,594.34x = 2,388.05 × 770.88
  4. Step 4: Simplify right side
    1,594.34x = 1,840,896.13
  5. Step 5: Solve for x
    x = 1,840,896.13/1,594.34
  6. Step 6: Final answer
    x = 1,154.64

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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.