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Finding the Fourth Proportional to 696.93, 1,045.00 and 286.35

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Solution

The fourth proportional to 696.93, 1,045.00 and 286.35 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.93 : 1,045.00 = 286.35 : x
  2. Step 2: Convert to fraction form
    696.93/1,045.00 = 286.35/x
  3. Step 3: Cross multiply
    696.93x = 1,045.00 × 286.35
  4. Step 4: Simplify right side
    696.93x = 299,232.19
  5. Step 5: Solve for x
    x = 299,232.19/696.93
  6. Step 6: Final answer
    x = 429.36

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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.