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Finding the Fourth Proportional to 1,070.99, 1,607.07 and 485.95

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Solution

The fourth proportional to 1,070.99, 1,607.07 and 485.95 is: 729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.99 : 1,607.07 = 485.95 : x
  2. Step 2: Convert to fraction form
    1,070.99/1,607.07 = 485.95/x
  3. Step 3: Cross multiply
    1,070.99x = 1,607.07 × 485.95
  4. Step 4: Simplify right side
    1,070.99x = 780,952.38
  5. Step 5: Solve for x
    x = 780,952.38/1,070.99
  6. Step 6: Final answer
    x = 729.19

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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.