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Finding the Fourth Proportional to 848.60, 1,275.48 and 830.43

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Solution

The fourth proportional to 848.60, 1,275.48 and 830.43 is: 1,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.60 : 1,275.48 = 830.43 : x
  2. Step 2: Convert to fraction form
    848.60/1,275.48 = 830.43/x
  3. Step 3: Cross multiply
    848.60x = 1,275.48 × 830.43
  4. Step 4: Simplify right side
    848.60x = 1,059,196.86
  5. Step 5: Solve for x
    x = 1,059,196.86/848.60
  6. Step 6: Final answer
    x = 1,248.18

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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.