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Finding the Fourth Proportional to 875, 1,209.05 and 651.82

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Solution

The fourth proportional to 875, 1,209.05 and 651.82 is: 900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    875 : 1,209.05 = 651.82 : x
  2. Step 2: Convert to fraction form
    875/1,209.05 = 651.82/x
  3. Step 3: Cross multiply
    875x = 1,209.05 × 651.82
  4. Step 4: Simplify right side
    875x = 788,082.97
  5. Step 5: Solve for x
    x = 788,082.97/875
  6. Step 6: Final answer
    x = 900.67

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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.