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Finding the Fourth Proportional to 875.32, 1,208.40 and 581.28

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Solution

The fourth proportional to 875.32, 1,208.40 and 581.28 is: 802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.32 : 1,208.40 = 581.28 : x
  2. Step 2: Convert to fraction form
    875.32/1,208.40 = 581.28/x
  3. Step 3: Cross multiply
    875.32x = 1,208.40 × 581.28
  4. Step 4: Simplify right side
    875.32x = 702,418.75
  5. Step 5: Solve for x
    x = 702,418.75/875.32
  6. Step 6: Final answer
    x = 802.47

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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.