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Finding the Fourth Proportional to 1,346.65, 2,020.23 and 469.12

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Solution

The fourth proportional to 1,346.65, 2,020.23 and 469.12 is: 703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.65 : 2,020.23 = 469.12 : x
  2. Step 2: Convert to fraction form
    1,346.65/2,020.23 = 469.12/x
  3. Step 3: Cross multiply
    1,346.65x = 2,020.23 × 469.12
  4. Step 4: Simplify right side
    1,346.65x = 947,730.30
  5. Step 5: Solve for x
    x = 947,730.30/1,346.65
  6. Step 6: Final answer
    x = 703.77

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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.