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Finding the Fourth Proportional to 875.24, 1,208.28 and 581

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Solution

The fourth proportional to 875.24, 1,208.28 and 581 is: 802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.24 : 1,208.28 = 581 : x
  2. Step 2: Convert to fraction form
    875.24/1,208.28 = 581/x
  3. Step 3: Cross multiply
    875.24x = 1,208.28 × 581
  4. Step 4: Simplify right side
    875.24x = 702,010.68
  5. Step 5: Solve for x
    x = 702,010.68/875.24
  6. Step 6: Final answer
    x = 802.08

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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.