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Finding the Fourth Proportional to 763.56, 1,146.74 and 654.84

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Solution

The fourth proportional to 763.56, 1,146.74 and 654.84 is: 983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.56 : 1,146.74 = 654.84 : x
  2. Step 2: Convert to fraction form
    763.56/1,146.74 = 654.84/x
  3. Step 3: Cross multiply
    763.56x = 1,146.74 × 654.84
  4. Step 4: Simplify right side
    763.56x = 750,931.22
  5. Step 5: Solve for x
    x = 750,931.22/763.56
  6. Step 6: Final answer
    x = 983.46

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Why These Related Problems?

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