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Finding the Fourth Proportional to 847.02, 1,270.65 and 384.80

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Solution

The fourth proportional to 847.02, 1,270.65 and 384.80 is: 577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.02 : 1,270.65 = 384.80 : x
  2. Step 2: Convert to fraction form
    847.02/1,270.65 = 384.80/x
  3. Step 3: Cross multiply
    847.02x = 1,270.65 × 384.80
  4. Step 4: Simplify right side
    847.02x = 488,939.77
  5. Step 5: Solve for x
    x = 488,939.77/847.02
  6. Step 6: Final answer
    x = 577.25

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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.