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Finding the Fourth Proportional to 770.10, 1,063.53 and 593.70

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Solution

The fourth proportional to 770.10, 1,063.53 and 593.70 is: 819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.10 : 1,063.53 = 593.70 : x
  2. Step 2: Convert to fraction form
    770.10/1,063.53 = 593.70/x
  3. Step 3: Cross multiply
    770.10x = 1,063.53 × 593.70
  4. Step 4: Simplify right side
    770.10x = 631,417.76
  5. Step 5: Solve for x
    x = 631,417.76/770.10
  6. Step 6: Final answer
    x = 819.92

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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.