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Finding the Fourth Proportional to 1,564.57, 2,347.22 and 468.91

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Solution

The fourth proportional to 1,564.57, 2,347.22 and 468.91 is: 703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.57 : 2,347.22 = 468.91 : x
  2. Step 2: Convert to fraction form
    1,564.57/2,347.22 = 468.91/x
  3. Step 3: Cross multiply
    1,564.57x = 2,347.22 × 468.91
  4. Step 4: Simplify right side
    1,564.57x = 1,100,634.93
  5. Step 5: Solve for x
    x = 1,100,634.93/1,564.57
  6. Step 6: Final answer
    x = 703.47

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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.