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Finding the Fourth Proportional to 1,530.69, 2,296.22 and 606.21

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Solution

The fourth proportional to 1,530.69, 2,296.22 and 606.21 is: 909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.69 : 2,296.22 = 606.21 : x
  2. Step 2: Convert to fraction form
    1,530.69/2,296.22 = 606.21/x
  3. Step 3: Cross multiply
    1,530.69x = 2,296.22 × 606.21
  4. Step 4: Simplify right side
    1,530.69x = 1,391,988.50
  5. Step 5: Solve for x
    x = 1,391,988.50/1,530.69
  6. Step 6: Final answer
    x = 909.39

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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.