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Finding the Fourth Proportional to 948.03, 1,420.13 and 460.71

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Solution

The fourth proportional to 948.03, 1,420.13 and 460.71 is: 690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.03 : 1,420.13 = 460.71 : x
  2. Step 2: Convert to fraction form
    948.03/1,420.13 = 460.71/x
  3. Step 3: Cross multiply
    948.03x = 1,420.13 × 460.71
  4. Step 4: Simplify right side
    948.03x = 654,265.79
  5. Step 5: Solve for x
    x = 654,265.79/948.03
  6. Step 6: Final answer
    x = 690.13

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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.