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Finding the Fourth Proportional to 860.23, 1,289.43 and 340.01

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Solution

The fourth proportional to 860.23, 1,289.43 and 340.01 is: 509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.23 : 1,289.43 = 340.01 : x
  2. Step 2: Convert to fraction form
    860.23/1,289.43 = 340.01/x
  3. Step 3: Cross multiply
    860.23x = 1,289.43 × 340.01
  4. Step 4: Simplify right side
    860.23x = 438,420.31
  5. Step 5: Solve for x
    x = 438,420.31/860.23
  6. Step 6: Final answer
    x = 509.65

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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.