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Finding the Fourth Proportional to 687.86, 1,030.98 and 363.06

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Solution

The fourth proportional to 687.86, 1,030.98 and 363.06 is: 544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.86 : 1,030.98 = 363.06 : x
  2. Step 2: Convert to fraction form
    687.86/1,030.98 = 363.06/x
  3. Step 3: Cross multiply
    687.86x = 1,030.98 × 363.06
  4. Step 4: Simplify right side
    687.86x = 374,307.60
  5. Step 5: Solve for x
    x = 374,307.60/687.86
  6. Step 6: Final answer
    x = 544.16

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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.