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Finding the Fourth Proportional to 770.58, 1,063.65 and 509.22

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Solution

The fourth proportional to 770.58, 1,063.65 and 509.22 is: 702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.58 : 1,063.65 = 509.22 : x
  2. Step 2: Convert to fraction form
    770.58/1,063.65 = 509.22/x
  3. Step 3: Cross multiply
    770.58x = 1,063.65 × 509.22
  4. Step 4: Simplify right side
    770.58x = 541,631.85
  5. Step 5: Solve for x
    x = 541,631.85/770.58
  6. Step 6: Final answer
    x = 702.89

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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.