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Finding the Fourth Proportional to 948.12, 1,421.70 and 460.20

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Solution

The fourth proportional to 948.12, 1,421.70 and 460.20 is: 690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.12 : 1,421.70 = 460.20 : x
  2. Step 2: Convert to fraction form
    948.12/1,421.70 = 460.20/x
  3. Step 3: Cross multiply
    948.12x = 1,421.70 × 460.20
  4. Step 4: Simplify right side
    948.12x = 654,266.34
  5. Step 5: Solve for x
    x = 654,266.34/948.12
  6. Step 6: Final answer
    x = 690.07

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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.