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Finding the Fourth Proportional to 948.86, 1,421.28 and 602.01

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Solution

The fourth proportional to 948.86, 1,421.28 and 602.01 is: 901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.86 : 1,421.28 = 602.01 : x
  2. Step 2: Convert to fraction form
    948.86/1,421.28 = 602.01/x
  3. Step 3: Cross multiply
    948.86x = 1,421.28 × 602.01
  4. Step 4: Simplify right side
    948.86x = 855,623.03
  5. Step 5: Solve for x
    x = 855,623.03/948.86
  6. Step 6: Final answer
    x = 901.74

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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.