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Finding the Fourth Proportional to 848.34, 1,273.14 and 437.85

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Solution

The fourth proportional to 848.34, 1,273.14 and 437.85 is: 657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.34 : 1,273.14 = 437.85 : x
  2. Step 2: Convert to fraction form
    848.34/1,273.14 = 437.85/x
  3. Step 3: Cross multiply
    848.34x = 1,273.14 × 437.85
  4. Step 4: Simplify right side
    848.34x = 557,444.35
  5. Step 5: Solve for x
    x = 557,444.35/848.34
  6. Step 6: Final answer
    x = 657.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.