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Finding the Fourth Proportional to 696.65, 1,045.36 and 286.07

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Solution

The fourth proportional to 696.65, 1,045.36 and 286.07 is: 429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.65 : 1,045.36 = 286.07 : x
  2. Step 2: Convert to fraction form
    696.65/1,045.36 = 286.07/x
  3. Step 3: Cross multiply
    696.65x = 1,045.36 × 286.07
  4. Step 4: Simplify right side
    696.65x = 299,044.11
  5. Step 5: Solve for x
    x = 299,044.11/696.65
  6. Step 6: Final answer
    x = 429.26

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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.