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Finding the Fourth Proportional to 1,699.74, 2,549.64 and 467.14

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Solution

The fourth proportional to 1,699.74, 2,549.64 and 467.14 is: 700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.74 : 2,549.64 = 467.14 : x
  2. Step 2: Convert to fraction form
    1,699.74/2,549.64 = 467.14/x
  3. Step 3: Cross multiply
    1,699.74x = 2,549.64 × 467.14
  4. Step 4: Simplify right side
    1,699.74x = 1,191,036.49
  5. Step 5: Solve for x
    x = 1,191,036.49/1,699.74
  6. Step 6: Final answer
    x = 700.72

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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.