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Finding the Fourth Proportional to 1,209.36, 1,814.04 and 560.01

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Solution

The fourth proportional to 1,209.36, 1,814.04 and 560.01 is: 840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.36 : 1,814.04 = 560.01 : x
  2. Step 2: Convert to fraction form
    1,209.36/1,814.04 = 560.01/x
  3. Step 3: Cross multiply
    1,209.36x = 1,814.04 × 560.01
  4. Step 4: Simplify right side
    1,209.36x = 1,015,880.54
  5. Step 5: Solve for x
    x = 1,015,880.54/1,209.36
  6. Step 6: Final answer
    x = 840.02

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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.