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Finding the Fourth Proportional to 770.65, 1,063.47 and 508.48

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Solution

The fourth proportional to 770.65, 1,063.47 and 508.48 is: 701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.65 : 1,063.47 = 508.48 : x
  2. Step 2: Convert to fraction form
    770.65/1,063.47 = 508.48/x
  3. Step 3: Cross multiply
    770.65x = 1,063.47 × 508.48
  4. Step 4: Simplify right side
    770.65x = 540,753.23
  5. Step 5: Solve for x
    x = 540,753.23/770.65
  6. Step 6: Final answer
    x = 701.68

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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.