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Finding the Fourth Proportional to 875.07, 1,312.59 and 225.80

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Solution

The fourth proportional to 875.07, 1,312.59 and 225.80 is: 338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.07 : 1,312.59 = 225.80 : x
  2. Step 2: Convert to fraction form
    875.07/1,312.59 = 225.80/x
  3. Step 3: Cross multiply
    875.07x = 1,312.59 × 225.80
  4. Step 4: Simplify right side
    875.07x = 296,382.82
  5. Step 5: Solve for x
    x = 296,382.82/875.07
  6. Step 6: Final answer
    x = 338.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.