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Finding the Fourth Proportional to 877.70, 1,210.91 and 504.50

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Solution

The fourth proportional to 877.70, 1,210.91 and 504.50 is: 696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.70 : 1,210.91 = 504.50 : x
  2. Step 2: Convert to fraction form
    877.70/1,210.91 = 504.50/x
  3. Step 3: Cross multiply
    877.70x = 1,210.91 × 504.50
  4. Step 4: Simplify right side
    877.70x = 610,895.52
  5. Step 5: Solve for x
    x = 610,895.52/877.70
  6. Step 6: Final answer
    x = 696.02

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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.