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Finding the Fourth Proportional to 1,043.23, 1,564.31 and 349.65

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Solution

The fourth proportional to 1,043.23, 1,564.31 and 349.65 is: 524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.23 : 1,564.31 = 349.65 : x
  2. Step 2: Convert to fraction form
    1,043.23/1,564.31 = 349.65/x
  3. Step 3: Cross multiply
    1,043.23x = 1,564.31 × 349.65
  4. Step 4: Simplify right side
    1,043.23x = 546,960.99
  5. Step 5: Solve for x
    x = 546,960.99/1,043.23
  6. Step 6: Final answer
    x = 524.30

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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.