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Finding the Fourth Proportional to 770.52, 1,063.04 and 508.08

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Solution

The fourth proportional to 770.52, 1,063.04 and 508.08 is: 700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.52 : 1,063.04 = 508.08 : x
  2. Step 2: Convert to fraction form
    770.52/1,063.04 = 508.08/x
  3. Step 3: Cross multiply
    770.52x = 1,063.04 × 508.08
  4. Step 4: Simplify right side
    770.52x = 540,109.36
  5. Step 5: Solve for x
    x = 540,109.36/770.52
  6. Step 6: Final answer
    x = 700.97

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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.