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Finding the Fourth Proportional to 848.14, 1,271.91 and 385.53

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Solution

The fourth proportional to 848.14, 1,271.91 and 385.53 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.14 : 1,271.91 = 385.53 : x
  2. Step 2: Convert to fraction form
    848.14/1,271.91 = 385.53/x
  3. Step 3: Cross multiply
    848.14x = 1,271.91 × 385.53
  4. Step 4: Simplify right side
    848.14x = 490,359.46
  5. Step 5: Solve for x
    x = 490,359.46/848.14
  6. Step 6: Final answer
    x = 578.16

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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.