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Finding the Fourth Proportional to 1,670.98, 2,506.89 and 575.35

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Solution

The fourth proportional to 1,670.98, 2,506.89 and 575.35 is: 863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.98 : 2,506.89 = 575.35 : x
  2. Step 2: Convert to fraction form
    1,670.98/2,506.89 = 575.35/x
  3. Step 3: Cross multiply
    1,670.98x = 2,506.89 × 575.35
  4. Step 4: Simplify right side
    1,670.98x = 1,442,339.16
  5. Step 5: Solve for x
    x = 1,442,339.16/1,670.98
  6. Step 6: Final answer
    x = 863.17

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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.