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Finding the Fourth Proportional to 985.86, 1,478.58 and 292.34

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Solution

The fourth proportional to 985.86, 1,478.58 and 292.34 is: 438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.86 : 1,478.58 = 292.34 : x
  2. Step 2: Convert to fraction form
    985.86/1,478.58 = 292.34/x
  3. Step 3: Cross multiply
    985.86x = 1,478.58 × 292.34
  4. Step 4: Simplify right side
    985.86x = 432,248.08
  5. Step 5: Solve for x
    x = 432,248.08/985.86
  6. Step 6: Final answer
    x = 438.45

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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.