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Finding the Fourth Proportional to 698.09, 1,051.85 and 579.02

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Solution

The fourth proportional to 698.09, 1,051.85 and 579.02 is: 872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.09 : 1,051.85 = 579.02 : x
  2. Step 2: Convert to fraction form
    698.09/1,051.85 = 579.02/x
  3. Step 3: Cross multiply
    698.09x = 1,051.85 × 579.02
  4. Step 4: Simplify right side
    698.09x = 609,038.38
  5. Step 5: Solve for x
    x = 609,038.38/698.09
  6. Step 6: Final answer
    x = 872.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.