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Finding the Fourth Proportional to 948.24, 1,420.54 and 536.15

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Solution

The fourth proportional to 948.24, 1,420.54 and 536.15 is: 803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.24 : 1,420.54 = 536.15 : x
  2. Step 2: Convert to fraction form
    948.24/1,420.54 = 536.15/x
  3. Step 3: Cross multiply
    948.24x = 1,420.54 × 536.15
  4. Step 4: Simplify right side
    948.24x = 761,624.73
  5. Step 5: Solve for x
    x = 761,624.73/948.24
  6. Step 6: Final answer
    x = 803.20

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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.