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Finding the Fourth Proportional to 1,154.64, 1,595.20 and 967.84

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Solution

The fourth proportional to 1,154.64, 1,595.20 and 967.84 is: 1,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.64 : 1,595.20 = 967.84 : x
  2. Step 2: Convert to fraction form
    1,154.64/1,595.20 = 967.84/x
  3. Step 3: Cross multiply
    1,154.64x = 1,595.20 × 967.84
  4. Step 4: Simplify right side
    1,154.64x = 1,543,898.37
  5. Step 5: Solve for x
    x = 1,543,898.37/1,154.64
  6. Step 6: Final answer
    x = 1,337.13

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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.