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Finding the Fourth Proportional to 948.30, 1,420.29 and 786.30

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Solution

The fourth proportional to 948.30, 1,420.29 and 786.30 is: 1,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.30 : 1,420.29 = 786.30 : x
  2. Step 2: Convert to fraction form
    948.30/1,420.29 = 786.30/x
  3. Step 3: Cross multiply
    948.30x = 1,420.29 × 786.30
  4. Step 4: Simplify right side
    948.30x = 1,116,774.03
  5. Step 5: Solve for x
    x = 1,116,774.03/948.30
  6. Step 6: Final answer
    x = 1,177.66

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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.