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Finding the Fourth Proportional to 1,046.00, 1,567.90 and 352.43

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Solution

The fourth proportional to 1,046.00, 1,567.90 and 352.43 is: 528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.00 : 1,567.90 = 352.43 : x
  2. Step 2: Convert to fraction form
    1,046.00/1,567.90 = 352.43/x
  3. Step 3: Cross multiply
    1,046.00x = 1,567.90 × 352.43
  4. Step 4: Simplify right side
    1,046.00x = 552,567.72
  5. Step 5: Solve for x
    x = 552,567.72/1,046.00
  6. Step 6: Final answer
    x = 528.27

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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.