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Finding the Fourth Proportional to 777.88, 1,072.50 and 497.66

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Solution

The fourth proportional to 777.88, 1,072.50 and 497.66 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.88 : 1,072.50 = 497.66 : x
  2. Step 2: Convert to fraction form
    777.88/1,072.50 = 497.66/x
  3. Step 3: Cross multiply
    777.88x = 1,072.50 × 497.66
  4. Step 4: Simplify right side
    777.88x = 533,740.35
  5. Step 5: Solve for x
    x = 533,740.35/777.88
  6. Step 6: Final answer
    x = 686.15

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Why These Related Problems?

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