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Finding the Fourth Proportional to 696.95, 1,045.62 and 286.37

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Solution

The fourth proportional to 696.95, 1,045.62 and 286.37 is: 429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.95 : 1,045.62 = 286.37 : x
  2. Step 2: Convert to fraction form
    696.95/1,045.62 = 286.37/x
  3. Step 3: Cross multiply
    696.95x = 1,045.62 × 286.37
  4. Step 4: Simplify right side
    696.95x = 299,436.81
  5. Step 5: Solve for x
    x = 299,436.81/696.95
  6. Step 6: Final answer
    x = 429.64

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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.