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Finding the Fourth Proportional to 875.62, 1,207.62 and 526.24

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Solution

The fourth proportional to 875.62, 1,207.62 and 526.24 is: 725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.62 : 1,207.62 = 526.24 : x
  2. Step 2: Convert to fraction form
    875.62/1,207.62 = 526.24/x
  3. Step 3: Cross multiply
    875.62x = 1,207.62 × 526.24
  4. Step 4: Simplify right side
    875.62x = 635,497.95
  5. Step 5: Solve for x
    x = 635,497.95/875.62
  6. Step 6: Final answer
    x = 725.77

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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.