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Finding the Fourth Proportional to 934.88, 1,400.14 and 830.68

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Solution

The fourth proportional to 934.88, 1,400.14 and 830.68 is: 1,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.88 : 1,400.14 = 830.68 : x
  2. Step 2: Convert to fraction form
    934.88/1,400.14 = 830.68/x
  3. Step 3: Cross multiply
    934.88x = 1,400.14 × 830.68
  4. Step 4: Simplify right side
    934.88x = 1,163,068.30
  5. Step 5: Solve for x
    x = 1,163,068.30/934.88
  6. Step 6: Final answer
    x = 1,244.08

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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.