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Finding the Fourth Proportional to 1,530.14, 2,295.74 and 606.34

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Solution

The fourth proportional to 1,530.14, 2,295.74 and 606.34 is: 909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.14 : 2,295.74 = 606.34 : x
  2. Step 2: Convert to fraction form
    1,530.14/2,295.74 = 606.34/x
  3. Step 3: Cross multiply
    1,530.14x = 2,295.74 × 606.34
  4. Step 4: Simplify right side
    1,530.14x = 1,391,990.46
  5. Step 5: Solve for x
    x = 1,391,990.46/1,530.14
  6. Step 6: Final answer
    x = 909.71

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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.