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Finding the Fourth Proportional to 1,114.00, 1,674.80 and 910.05

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Solution

The fourth proportional to 1,114.00, 1,674.80 and 910.05 is: 1,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.00 : 1,674.80 = 910.05 : x
  2. Step 2: Convert to fraction form
    1,114.00/1,674.80 = 910.05/x
  3. Step 3: Cross multiply
    1,114.00x = 1,674.80 × 910.05
  4. Step 4: Simplify right side
    1,114.00x = 1,524,156.30
  5. Step 5: Solve for x
    x = 1,524,156.30/1,114.00
  6. Step 6: Final answer
    x = 1,368.18

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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.