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Finding the Fourth Proportional to 770.63, 1,063.49 and 509.13

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Solution

The fourth proportional to 770.63, 1,063.49 and 509.13 is: 702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.63 : 1,063.49 = 509.13 : x
  2. Step 2: Convert to fraction form
    770.63/1,063.49 = 509.13/x
  3. Step 3: Cross multiply
    770.63x = 1,063.49 × 509.13
  4. Step 4: Simplify right side
    770.63x = 541,452.12
  5. Step 5: Solve for x
    x = 541,452.12/770.63
  6. Step 6: Final answer
    x = 702.61

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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.