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Finding the Fourth Proportional to 860.02, 1,289.70 and 312.04

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Solution

The fourth proportional to 860.02, 1,289.70 and 312.04 is: 467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.02 : 1,289.70 = 312.04 : x
  2. Step 2: Convert to fraction form
    860.02/1,289.70 = 312.04/x
  3. Step 3: Cross multiply
    860.02x = 1,289.70 × 312.04
  4. Step 4: Simplify right side
    860.02x = 402,437.99
  5. Step 5: Solve for x
    x = 402,437.99/860.02
  6. Step 6: Final answer
    x = 467.94

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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.