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Finding the Fourth Proportional to 1,116.29, 1,674.63 and 466.98

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Solution

The fourth proportional to 1,116.29, 1,674.63 and 466.98 is: 700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.29 : 1,674.63 = 466.98 : x
  2. Step 2: Convert to fraction form
    1,116.29/1,674.63 = 466.98/x
  3. Step 3: Cross multiply
    1,116.29x = 1,674.63 × 466.98
  4. Step 4: Simplify right side
    1,116.29x = 782,018.72
  5. Step 5: Solve for x
    x = 782,018.72/1,116.29
  6. Step 6: Final answer
    x = 700.55

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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.