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Finding the Fourth Proportional to 945.84, 1,417.14 and 763.32

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Solution

The fourth proportional to 945.84, 1,417.14 and 763.32 is: 1,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.84 : 1,417.14 = 763.32 : x
  2. Step 2: Convert to fraction form
    945.84/1,417.14 = 763.32/x
  3. Step 3: Cross multiply
    945.84x = 1,417.14 × 763.32
  4. Step 4: Simplify right side
    945.84x = 1,081,731.30
  5. Step 5: Solve for x
    x = 1,081,731.30/945.84
  6. Step 6: Final answer
    x = 1,143.67

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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.