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Finding the Fourth Proportional to 1,089.04, 1,634.66 and 848.20

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Solution

The fourth proportional to 1,089.04, 1,634.66 and 848.20 is: 1,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.04 : 1,634.66 = 848.20 : x
  2. Step 2: Convert to fraction form
    1,089.04/1,634.66 = 848.20/x
  3. Step 3: Cross multiply
    1,089.04x = 1,634.66 × 848.20
  4. Step 4: Simplify right side
    1,089.04x = 1,386,518.61
  5. Step 5: Solve for x
    x = 1,386,518.61/1,089.04
  6. Step 6: Final answer
    x = 1,273.16

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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.