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Finding the Fourth Proportional to 985.81, 1,478.72 and 400.83

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Solution

The fourth proportional to 985.81, 1,478.72 and 400.83 is: 601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.81 : 1,478.72 = 400.83 : x
  2. Step 2: Convert to fraction form
    985.81/1,478.72 = 400.83/x
  3. Step 3: Cross multiply
    985.81x = 1,478.72 × 400.83
  4. Step 4: Simplify right side
    985.81x = 592,715.34
  5. Step 5: Solve for x
    x = 592,715.34/985.81
  6. Step 6: Final answer
    x = 601.25

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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.