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Finding the Fourth Proportional to 948.25, 1,421.86 and 510.02

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Solution

The fourth proportional to 948.25, 1,421.86 and 510.02 is: 764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.25 : 1,421.86 = 510.02 : x
  2. Step 2: Convert to fraction form
    948.25/1,421.86 = 510.02/x
  3. Step 3: Cross multiply
    948.25x = 1,421.86 × 510.02
  4. Step 4: Simplify right side
    948.25x = 725,177.04
  5. Step 5: Solve for x
    x = 725,177.04/948.25
  6. Step 6: Final answer
    x = 764.75

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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.