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Finding the Fourth Proportional to 1,070.77, 1,603.19 and 549.65

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Solution

The fourth proportional to 1,070.77, 1,603.19 and 549.65 is: 822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.77 : 1,603.19 = 549.65 : x
  2. Step 2: Convert to fraction form
    1,070.77/1,603.19 = 549.65/x
  3. Step 3: Cross multiply
    1,070.77x = 1,603.19 × 549.65
  4. Step 4: Simplify right side
    1,070.77x = 881,193.38
  5. Step 5: Solve for x
    x = 881,193.38/1,070.77
  6. Step 6: Final answer
    x = 822.95

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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.