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Finding the Fourth Proportional to 1,530.96, 2,296.56 and 556.80

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Solution

The fourth proportional to 1,530.96, 2,296.56 and 556.80 is: 835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.96 : 2,296.56 = 556.80 : x
  2. Step 2: Convert to fraction form
    1,530.96/2,296.56 = 556.80/x
  3. Step 3: Cross multiply
    1,530.96x = 2,296.56 × 556.80
  4. Step 4: Simplify right side
    1,530.96x = 1,278,724.61
  5. Step 5: Solve for x
    x = 1,278,724.61/1,530.96
  6. Step 6: Final answer
    x = 835.24

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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.