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Finding the Fourth Proportional to 1,406.92, 2,110.95 and 585.04

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Solution

The fourth proportional to 1,406.92, 2,110.95 and 585.04 is: 877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.92 : 2,110.95 = 585.04 : x
  2. Step 2: Convert to fraction form
    1,406.92/2,110.95 = 585.04/x
  3. Step 3: Cross multiply
    1,406.92x = 2,110.95 × 585.04
  4. Step 4: Simplify right side
    1,406.92x = 1,234,984.91
  5. Step 5: Solve for x
    x = 1,234,984.91/1,406.92
  6. Step 6: Final answer
    x = 877.79

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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.