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Finding the Fourth Proportional to 1,530.69, 2,294.74 and 606.90

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Solution

The fourth proportional to 1,530.69, 2,294.74 and 606.90 is: 909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.69 : 2,294.74 = 606.90 : x
  2. Step 2: Convert to fraction form
    1,530.69/2,294.74 = 606.90/x
  3. Step 3: Cross multiply
    1,530.69x = 2,294.74 × 606.90
  4. Step 4: Simplify right side
    1,530.69x = 1,392,676.19
  5. Step 5: Solve for x
    x = 1,392,676.19/1,530.69
  6. Step 6: Final answer
    x = 909.84

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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.