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Finding the Fourth Proportional to 848.32, 1,270.94 and 457.90

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Solution

The fourth proportional to 848.32, 1,270.94 and 457.90 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.32 : 1,270.94 = 457.90 : x
  2. Step 2: Convert to fraction form
    848.32/1,270.94 = 457.90/x
  3. Step 3: Cross multiply
    848.32x = 1,270.94 × 457.90
  4. Step 4: Simplify right side
    848.32x = 581,963.43
  5. Step 5: Solve for x
    x = 581,963.43/848.32
  6. Step 6: Final answer
    x = 686.02

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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.