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Finding the Fourth Proportional to 1,377.17, 2,066.06 and 646.35

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Solution

The fourth proportional to 1,377.17, 2,066.06 and 646.35 is: 969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.17 : 2,066.06 = 646.35 : x
  2. Step 2: Convert to fraction form
    1,377.17/2,066.06 = 646.35/x
  3. Step 3: Cross multiply
    1,377.17x = 2,066.06 × 646.35
  4. Step 4: Simplify right side
    1,377.17x = 1,335,399.74
  5. Step 5: Solve for x
    x = 1,335,399.74/1,377.17
  6. Step 6: Final answer
    x = 969.67

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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.