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Finding the Fourth Proportional to 901.92, 1,345.50 and 860.64

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Solution

The fourth proportional to 901.92, 1,345.50 and 860.64 is: 1,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.92 : 1,345.50 = 860.64 : x
  2. Step 2: Convert to fraction form
    901.92/1,345.50 = 860.64/x
  3. Step 3: Cross multiply
    901.92x = 1,345.50 × 860.64
  4. Step 4: Simplify right side
    901.92x = 1,157,991.12
  5. Step 5: Solve for x
    x = 1,157,991.12/901.92
  6. Step 6: Final answer
    x = 1,283.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.