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Finding the Fourth Proportional to 1,179.95, 1,624.61 and 899.29

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Solution

The fourth proportional to 1,179.95, 1,624.61 and 899.29 is: 1,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.95 : 1,624.61 = 899.29 : x
  2. Step 2: Convert to fraction form
    1,179.95/1,624.61 = 899.29/x
  3. Step 3: Cross multiply
    1,179.95x = 1,624.61 × 899.29
  4. Step 4: Simplify right side
    1,179.95x = 1,460,982.91
  5. Step 5: Solve for x
    x = 1,460,982.91/1,179.95
  6. Step 6: Final answer
    x = 1,238.17

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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.