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Finding the Fourth Proportional to 1,430.46, 2,146.05 and 564.78

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Solution

The fourth proportional to 1,430.46, 2,146.05 and 564.78 is: 847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.46 : 2,146.05 = 564.78 : x
  2. Step 2: Convert to fraction form
    1,430.46/2,146.05 = 564.78/x
  3. Step 3: Cross multiply
    1,430.46x = 2,146.05 × 564.78
  4. Step 4: Simplify right side
    1,430.46x = 1,212,046.12
  5. Step 5: Solve for x
    x = 1,212,046.12/1,430.46
  6. Step 6: Final answer
    x = 847.31

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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.