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Finding the Fourth Proportional to 1,209.94, 1,813.90 and 561.14

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Solution

The fourth proportional to 1,209.94, 1,813.90 and 561.14 is: 841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.94 : 1,813.90 = 561.14 : x
  2. Step 2: Convert to fraction form
    1,209.94/1,813.90 = 561.14/x
  3. Step 3: Cross multiply
    1,209.94x = 1,813.90 × 561.14
  4. Step 4: Simplify right side
    1,209.94x = 1,017,851.85
  5. Step 5: Solve for x
    x = 1,017,851.85/1,209.94
  6. Step 6: Final answer
    x = 841.24

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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.