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Finding the Fourth Proportional to 1,206.48, 1,809.78 and 590.70

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Solution

The fourth proportional to 1,206.48, 1,809.78 and 590.70 is: 886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.48 : 1,809.78 = 590.70 : x
  2. Step 2: Convert to fraction form
    1,206.48/1,809.78 = 590.70/x
  3. Step 3: Cross multiply
    1,206.48x = 1,809.78 × 590.70
  4. Step 4: Simplify right side
    1,206.48x = 1,069,037.05
  5. Step 5: Solve for x
    x = 1,069,037.05/1,206.48
  6. Step 6: Final answer
    x = 886.08

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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.