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Finding the Fourth Proportional to 1,530.51, 2,296.79 and 556.61

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Solution

The fourth proportional to 1,530.51, 2,296.79 and 556.61 is: 835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.51 : 2,296.79 = 556.61 : x
  2. Step 2: Convert to fraction form
    1,530.51/2,296.79 = 556.61/x
  3. Step 3: Cross multiply
    1,530.51x = 2,296.79 × 556.61
  4. Step 4: Simplify right side
    1,530.51x = 1,278,413.50
  5. Step 5: Solve for x
    x = 1,278,413.50/1,530.51
  6. Step 6: Final answer
    x = 835.29

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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.