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Finding the Fourth Proportional to 866.30, 1,298.93 and 345.87

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Solution

The fourth proportional to 866.30, 1,298.93 and 345.87 is: 518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.30 : 1,298.93 = 345.87 : x
  2. Step 2: Convert to fraction form
    866.30/1,298.93 = 345.87/x
  3. Step 3: Cross multiply
    866.30x = 1,298.93 × 345.87
  4. Step 4: Simplify right side
    866.30x = 449,259.19
  5. Step 5: Solve for x
    x = 449,259.19/866.30
  6. Step 6: Final answer
    x = 518.60

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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.