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Finding the Fourth Proportional to 871.98, 1,307.93 and 286.91

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Solution

The fourth proportional to 871.98, 1,307.93 and 286.91 is: 430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.98 : 1,307.93 = 286.91 : x
  2. Step 2: Convert to fraction form
    871.98/1,307.93 = 286.91/x
  3. Step 3: Cross multiply
    871.98x = 1,307.93 × 286.91
  4. Step 4: Simplify right side
    871.98x = 375,258.20
  5. Step 5: Solve for x
    x = 375,258.20/871.98
  6. Step 6: Final answer
    x = 430.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.