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Finding the Fourth Proportional to 1,206.05, 1,809.63 and 590.31

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Solution

The fourth proportional to 1,206.05, 1,809.63 and 590.31 is: 885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.05 : 1,809.63 = 590.31 : x
  2. Step 2: Convert to fraction form
    1,206.05/1,809.63 = 590.31/x
  3. Step 3: Cross multiply
    1,206.05x = 1,809.63 × 590.31
  4. Step 4: Simplify right side
    1,206.05x = 1,068,242.69
  5. Step 5: Solve for x
    x = 1,068,242.69/1,206.05
  6. Step 6: Final answer
    x = 885.74

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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.