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Finding the Fourth Proportional to 1,097.06, 1,646.40 and 549.50

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Solution

The fourth proportional to 1,097.06, 1,646.40 and 549.50 is: 824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.06 : 1,646.40 = 549.50 : x
  2. Step 2: Convert to fraction form
    1,097.06/1,646.40 = 549.50/x
  3. Step 3: Cross multiply
    1,097.06x = 1,646.40 × 549.50
  4. Step 4: Simplify right side
    1,097.06x = 904,696.80
  5. Step 5: Solve for x
    x = 904,696.80/1,097.06
  6. Step 6: Final answer
    x = 824.66

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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.