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Finding the Fourth Proportional to 1,043.14, 1,564.69 and 313.23

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Solution

The fourth proportional to 1,043.14, 1,564.69 and 313.23 is: 469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.14 : 1,564.69 = 313.23 : x
  2. Step 2: Convert to fraction form
    1,043.14/1,564.69 = 313.23/x
  3. Step 3: Cross multiply
    1,043.14x = 1,564.69 × 313.23
  4. Step 4: Simplify right side
    1,043.14x = 490,101.20
  5. Step 5: Solve for x
    x = 490,101.20/1,043.14
  6. Step 6: Final answer
    x = 469.83

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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.