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Finding the Fourth Proportional to 948.12, 1,421.64 and 460.56

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Solution

The fourth proportional to 948.12, 1,421.64 and 460.56 is: 690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.12 : 1,421.64 = 460.56 : x
  2. Step 2: Convert to fraction form
    948.12/1,421.64 = 460.56/x
  3. Step 3: Cross multiply
    948.12x = 1,421.64 × 460.56
  4. Step 4: Simplify right side
    948.12x = 654,750.52
  5. Step 5: Solve for x
    x = 654,750.52/948.12
  6. Step 6: Final answer
    x = 690.58

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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.