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Finding the Fourth Proportional to 1,105.07, 1,657.06 and 549.14

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Solution

The fourth proportional to 1,105.07, 1,657.06 and 549.14 is: 823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.07 : 1,657.06 = 549.14 : x
  2. Step 2: Convert to fraction form
    1,105.07/1,657.06 = 549.14/x
  3. Step 3: Cross multiply
    1,105.07x = 1,657.06 × 549.14
  4. Step 4: Simplify right side
    1,105.07x = 909,957.93
  5. Step 5: Solve for x
    x = 909,957.93/1,105.07
  6. Step 6: Final answer
    x = 823.44

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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.