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Finding the Fourth Proportional to 1,118.88, 1,678.58 and 349.38

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Solution

The fourth proportional to 1,118.88, 1,678.58 and 349.38 is: 524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.88 : 1,678.58 = 349.38 : x
  2. Step 2: Convert to fraction form
    1,118.88/1,678.58 = 349.38/x
  3. Step 3: Cross multiply
    1,118.88x = 1,678.58 × 349.38
  4. Step 4: Simplify right side
    1,118.88x = 586,462.28
  5. Step 5: Solve for x
    x = 586,462.28/1,118.88
  6. Step 6: Final answer
    x = 524.15

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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.