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Finding the Fourth Proportional to 777.16, 1,071.76 and 514.88

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Solution

The fourth proportional to 777.16, 1,071.76 and 514.88 is: 710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.16 : 1,071.76 = 514.88 : x
  2. Step 2: Convert to fraction form
    777.16/1,071.76 = 514.88/x
  3. Step 3: Cross multiply
    777.16x = 1,071.76 × 514.88
  4. Step 4: Simplify right side
    777.16x = 551,827.79
  5. Step 5: Solve for x
    x = 551,827.79/777.16
  6. Step 6: Final answer
    x = 710.06

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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.