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Finding the Fourth Proportional to 985.86, 1,478.75 and 465.66

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Solution

The fourth proportional to 985.86, 1,478.75 and 465.66 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.86 : 1,478.75 = 465.66 : x
  2. Step 2: Convert to fraction form
    985.86/1,478.75 = 465.66/x
  3. Step 3: Cross multiply
    985.86x = 1,478.75 × 465.66
  4. Step 4: Simplify right side
    985.86x = 688,592.40
  5. Step 5: Solve for x
    x = 688,592.40/985.86
  6. Step 6: Final answer
    x = 698.47

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