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Finding the Fourth Proportional to 770.46, 1,062.16 and 534.00

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Solution

The fourth proportional to 770.46, 1,062.16 and 534.00 is: 736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.46 : 1,062.16 = 534.00 : x
  2. Step 2: Convert to fraction form
    770.46/1,062.16 = 534.00/x
  3. Step 3: Cross multiply
    770.46x = 1,062.16 × 534.00
  4. Step 4: Simplify right side
    770.46x = 567,185.46
  5. Step 5: Solve for x
    x = 567,185.46/770.46
  6. Step 6: Final answer
    x = 736.17

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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.