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Finding the Fourth Proportional to 985.69, 1,478.33 and 465.47

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Solution

The fourth proportional to 985.69, 1,478.33 and 465.47 is: 698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.69 : 1,478.33 = 465.47 : x
  2. Step 2: Convert to fraction form
    985.69/1,478.33 = 465.47/x
  3. Step 3: Cross multiply
    985.69x = 1,478.33 × 465.47
  4. Step 4: Simplify right side
    985.69x = 688,108.55
  5. Step 5: Solve for x
    x = 688,108.55/985.69
  6. Step 6: Final answer
    x = 698.10

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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.