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Finding the Fourth Proportional to 871.19, 1,306.93 and 286.02

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Solution

The fourth proportional to 871.19, 1,306.93 and 286.02 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.19 : 1,306.93 = 286.02 : x
  2. Step 2: Convert to fraction form
    871.19/1,306.93 = 286.02/x
  3. Step 3: Cross multiply
    871.19x = 1,306.93 × 286.02
  4. Step 4: Simplify right side
    871.19x = 373,807.40
  5. Step 5: Solve for x
    x = 373,807.40/871.19
  6. Step 6: Final answer
    x = 429.08

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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.