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Finding the Fourth Proportional to 699.14, 1,049.64 and 597.08

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Solution

The fourth proportional to 699.14, 1,049.64 and 597.08 is: 896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.14 : 1,049.64 = 597.08 : x
  2. Step 2: Convert to fraction form
    699.14/1,049.64 = 597.08/x
  3. Step 3: Cross multiply
    699.14x = 1,049.64 × 597.08
  4. Step 4: Simplify right side
    699.14x = 626,719.05
  5. Step 5: Solve for x
    x = 626,719.05/699.14
  6. Step 6: Final answer
    x = 896.41

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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.