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Finding the Fourth Proportional to 877.03, 1,210.42 and 504.05

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Solution

The fourth proportional to 877.03, 1,210.42 and 504.05 is: 695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.03 : 1,210.42 = 504.05 : x
  2. Step 2: Convert to fraction form
    877.03/1,210.42 = 504.05/x
  3. Step 3: Cross multiply
    877.03x = 1,210.42 × 504.05
  4. Step 4: Simplify right side
    877.03x = 610,112.20
  5. Step 5: Solve for x
    x = 610,112.20/877.03
  6. Step 6: Final answer
    x = 695.66

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