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Finding the Fourth Proportional to 734.64, 1,097.10 and 654

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Solution

The fourth proportional to 734.64, 1,097.10 and 654 is: 976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.64 : 1,097.10 = 654 : x
  2. Step 2: Convert to fraction form
    734.64/1,097.10 = 654/x
  3. Step 3: Cross multiply
    734.64x = 1,097.10 × 654
  4. Step 4: Simplify right side
    734.64x = 717,503.40
  5. Step 5: Solve for x
    x = 717,503.40/734.64
  6. Step 6: Final answer
    x = 976.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.