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Finding the Fourth Proportional to 770.03, 1,062.65 and 420.72

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Solution

The fourth proportional to 770.03, 1,062.65 and 420.72 is: 580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.03 : 1,062.65 = 420.72 : x
  2. Step 2: Convert to fraction form
    770.03/1,062.65 = 420.72/x
  3. Step 3: Cross multiply
    770.03x = 1,062.65 × 420.72
  4. Step 4: Simplify right side
    770.03x = 447,078.11
  5. Step 5: Solve for x
    x = 447,078.11/770.03
  6. Step 6: Final answer
    x = 580.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.