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Finding the Fourth Proportional to 1,564.35, 2,346.51 and 469.49

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Solution

The fourth proportional to 1,564.35, 2,346.51 and 469.49 is: 704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.35 : 2,346.51 = 469.49 : x
  2. Step 2: Convert to fraction form
    1,564.35/2,346.51 = 469.49/x
  3. Step 3: Cross multiply
    1,564.35x = 2,346.51 × 469.49
  4. Step 4: Simplify right side
    1,564.35x = 1,101,651.25
  5. Step 5: Solve for x
    x = 1,101,651.25/1,564.35
  6. Step 6: Final answer
    x = 704.22

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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.