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Finding the Fourth Proportional to 1,070.66, 1,603.73 and 549.07

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Solution

The fourth proportional to 1,070.66, 1,603.73 and 549.07 is: 822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.66 : 1,603.73 = 549.07 : x
  2. Step 2: Convert to fraction form
    1,070.66/1,603.73 = 549.07/x
  3. Step 3: Cross multiply
    1,070.66x = 1,603.73 × 549.07
  4. Step 4: Simplify right side
    1,070.66x = 880,553.28
  5. Step 5: Solve for x
    x = 880,553.28/1,070.66
  6. Step 6: Final answer
    x = 822.44

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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.