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Finding the Fourth Proportional to 770.42, 1,063.52 and 535.16

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Solution

The fourth proportional to 770.42, 1,063.52 and 535.16 is: 738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.42 : 1,063.52 = 535.16 : x
  2. Step 2: Convert to fraction form
    770.42/1,063.52 = 535.16/x
  3. Step 3: Cross multiply
    770.42x = 1,063.52 × 535.16
  4. Step 4: Simplify right side
    770.42x = 569,158.36
  5. Step 5: Solve for x
    x = 569,158.36/770.42
  6. Step 6: Final answer
    x = 738.77

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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.