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Finding the Fourth Proportional to 876.36, 1,209.00 and 561.52

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Solution

The fourth proportional to 876.36, 1,209.00 and 561.52 is: 774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.36 : 1,209.00 = 561.52 : x
  2. Step 2: Convert to fraction form
    876.36/1,209.00 = 561.52/x
  3. Step 3: Cross multiply
    876.36x = 1,209.00 × 561.52
  4. Step 4: Simplify right side
    876.36x = 678,878.02
  5. Step 5: Solve for x
    x = 678,878.02/876.36
  6. Step 6: Final answer
    x = 774.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.