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Finding the Fourth Proportional to 770.10, 1,155.12 and 538.32

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Solution

The fourth proportional to 770.10, 1,155.12 and 538.32 is: 807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.10 : 1,155.12 = 538.32 : x
  2. Step 2: Convert to fraction form
    770.10/1,155.12 = 538.32/x
  3. Step 3: Cross multiply
    770.10x = 1,155.12 × 538.32
  4. Step 4: Simplify right side
    770.10x = 621,824.20
  5. Step 5: Solve for x
    x = 621,824.20/770.10
  6. Step 6: Final answer
    x = 807.46

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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.