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Finding the Fourth Proportional to 1,114.58, 1,672.14 and 334.66

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Solution

The fourth proportional to 1,114.58, 1,672.14 and 334.66 is: 502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.58 : 1,672.14 = 334.66 : x
  2. Step 2: Convert to fraction form
    1,114.58/1,672.14 = 334.66/x
  3. Step 3: Cross multiply
    1,114.58x = 1,672.14 × 334.66
  4. Step 4: Simplify right side
    1,114.58x = 559,598.37
  5. Step 5: Solve for x
    x = 559,598.37/1,114.58
  6. Step 6: Final answer
    x = 502.07

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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.