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Finding the Fourth Proportional to 1,530.07, 2,296.02 and 556.25

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Solution

The fourth proportional to 1,530.07, 2,296.02 and 556.25 is: 834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.07 : 2,296.02 = 556.25 : x
  2. Step 2: Convert to fraction form
    1,530.07/2,296.02 = 556.25/x
  3. Step 3: Cross multiply
    1,530.07x = 2,296.02 × 556.25
  4. Step 4: Simplify right side
    1,530.07x = 1,277,161.13
  5. Step 5: Solve for x
    x = 1,277,161.13/1,530.07
  6. Step 6: Final answer
    x = 834.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.