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Finding the Fourth Proportional to 770.04, 1,062.76 and 593.20

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Solution

The fourth proportional to 770.04, 1,062.76 and 593.20 is: 818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.04 : 1,062.76 = 593.20 : x
  2. Step 2: Convert to fraction form
    770.04/1,062.76 = 593.20/x
  3. Step 3: Cross multiply
    770.04x = 1,062.76 × 593.20
  4. Step 4: Simplify right side
    770.04x = 630,429.23
  5. Step 5: Solve for x
    x = 630,429.23/770.04
  6. Step 6: Final answer
    x = 818.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.