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Finding the Fourth Proportional to 1,530.83, 2,296.40 and 556.71

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Solution

The fourth proportional to 1,530.83, 2,296.40 and 556.71 is: 835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.83 : 2,296.40 = 556.71 : x
  2. Step 2: Convert to fraction form
    1,530.83/2,296.40 = 556.71/x
  3. Step 3: Cross multiply
    1,530.83x = 2,296.40 × 556.71
  4. Step 4: Simplify right side
    1,530.83x = 1,278,426.06
  5. Step 5: Solve for x
    x = 1,278,426.06/1,530.83
  6. Step 6: Final answer
    x = 835.12

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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.