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Finding the Fourth Proportional to 875.44, 1,208.32 and 526.13

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Solution

The fourth proportional to 875.44, 1,208.32 and 526.13 is: 726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.44 : 1,208.32 = 526.13 : x
  2. Step 2: Convert to fraction form
    875.44/1,208.32 = 526.13/x
  3. Step 3: Cross multiply
    875.44x = 1,208.32 × 526.13
  4. Step 4: Simplify right side
    875.44x = 635,730.58
  5. Step 5: Solve for x
    x = 635,730.58/875.44
  6. Step 6: Final answer
    x = 726.18

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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.