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Finding the Fourth Proportional to 696.58, 1,045.06 and 286.00

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Solution

The fourth proportional to 696.58, 1,045.06 and 286.00 is: 429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.58 : 1,045.06 = 286.00 : x
  2. Step 2: Convert to fraction form
    696.58/1,045.06 = 286.00/x
  3. Step 3: Cross multiply
    696.58x = 1,045.06 × 286.00
  4. Step 4: Simplify right side
    696.58x = 298,883.83
  5. Step 5: Solve for x
    x = 298,883.83/696.58
  6. Step 6: Final answer
    x = 429.07

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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.