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Finding the Fourth Proportional to 1,154.64, 1,594.12 and 844.88

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Solution

The fourth proportional to 1,154.64, 1,594.12 and 844.88 is: 1,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.64 : 1,594.12 = 844.88 : x
  2. Step 2: Convert to fraction form
    1,154.64/1,594.12 = 844.88/x
  3. Step 3: Cross multiply
    1,154.64x = 1,594.12 × 844.88
  4. Step 4: Simplify right side
    1,154.64x = 1,346,840.11
  5. Step 5: Solve for x
    x = 1,346,840.11/1,154.64
  6. Step 6: Final answer
    x = 1,166.46

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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.