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Finding the Fourth Proportional to 770.23, 1,153.99 and 538.64

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Solution

The fourth proportional to 770.23, 1,153.99 and 538.64 is: 807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.23 : 1,153.99 = 538.64 : x
  2. Step 2: Convert to fraction form
    770.23/1,153.99 = 538.64/x
  3. Step 3: Cross multiply
    770.23x = 1,153.99 × 538.64
  4. Step 4: Simplify right side
    770.23x = 621,585.17
  5. Step 5: Solve for x
    x = 621,585.17/770.23
  6. Step 6: Final answer
    x = 807.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.