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Finding the Fourth Proportional to 877.03, 1,210.82 and 578.75

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Solution

The fourth proportional to 877.03, 1,210.82 and 578.75 is: 799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.03 : 1,210.82 = 578.75 : x
  2. Step 2: Convert to fraction form
    877.03/1,210.82 = 578.75/x
  3. Step 3: Cross multiply
    877.03x = 1,210.82 × 578.75
  4. Step 4: Simplify right side
    877.03x = 700,753.13
  5. Step 5: Solve for x
    x = 700,753.13/877.03
  6. Step 6: Final answer
    x = 799.01

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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.