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Finding the Fourth Proportional to 687.78, 1,032.93 and 541.98

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Solution

The fourth proportional to 687.78, 1,032.93 and 541.98 is: 813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.78 : 1,032.93 = 541.98 : x
  2. Step 2: Convert to fraction form
    687.78/1,032.93 = 541.98/x
  3. Step 3: Cross multiply
    687.78x = 1,032.93 × 541.98
  4. Step 4: Simplify right side
    687.78x = 559,827.40
  5. Step 5: Solve for x
    x = 559,827.40/687.78
  6. Step 6: Final answer
    x = 813.96

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Why These Related Problems?

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