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Finding the Fourth Proportional to 877.28, 1,210.54 and 582

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Solution

The fourth proportional to 877.28, 1,210.54 and 582 is: 803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.28 : 1,210.54 = 582 : x
  2. Step 2: Convert to fraction form
    877.28/1,210.54 = 582/x
  3. Step 3: Cross multiply
    877.28x = 1,210.54 × 582
  4. Step 4: Simplify right side
    877.28x = 704,534.28
  5. Step 5: Solve for x
    x = 704,534.28/877.28
  6. Step 6: Final answer
    x = 803.09

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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.