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Finding the Fourth Proportional to 1,530.67, 2,296.00 and 708.49

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Solution

The fourth proportional to 1,530.67, 2,296.00 and 708.49 is: 1,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.67 : 2,296.00 = 708.49 : x
  2. Step 2: Convert to fraction form
    1,530.67/2,296.00 = 708.49/x
  3. Step 3: Cross multiply
    1,530.67x = 2,296.00 × 708.49
  4. Step 4: Simplify right side
    1,530.67x = 1,626,696.80
  5. Step 5: Solve for x
    x = 1,626,696.80/1,530.67
  6. Step 6: Final answer
    x = 1,062.74

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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.