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Finding the Fourth Proportional to 1,699.57, 2,549.55 and 467.02

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Solution

The fourth proportional to 1,699.57, 2,549.55 and 467.02 is: 700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.57 : 2,549.55 = 467.02 : x
  2. Step 2: Convert to fraction form
    1,699.57/2,549.55 = 467.02/x
  3. Step 3: Cross multiply
    1,699.57x = 2,549.55 × 467.02
  4. Step 4: Simplify right side
    1,699.57x = 1,190,690.84
  5. Step 5: Solve for x
    x = 1,190,690.84/1,699.57
  6. Step 6: Final answer
    x = 700.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.