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Finding the Fourth Proportional to 1,029.96, 1,544.58 and 567.90

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Solution

The fourth proportional to 1,029.96, 1,544.58 and 567.90 is: 851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.96 : 1,544.58 = 567.90 : x
  2. Step 2: Convert to fraction form
    1,029.96/1,544.58 = 567.90/x
  3. Step 3: Cross multiply
    1,029.96x = 1,544.58 × 567.90
  4. Step 4: Simplify right side
    1,029.96x = 877,166.98
  5. Step 5: Solve for x
    x = 877,166.98/1,029.96
  6. Step 6: Final answer
    x = 851.65

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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.