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Finding the Fourth Proportional to 705.40, 1,052.97 and 654.67

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Solution

The fourth proportional to 705.40, 1,052.97 and 654.67 is: 977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.40 : 1,052.97 = 654.67 : x
  2. Step 2: Convert to fraction form
    705.40/1,052.97 = 654.67/x
  3. Step 3: Cross multiply
    705.40x = 1,052.97 × 654.67
  4. Step 4: Simplify right side
    705.40x = 689,347.87
  5. Step 5: Solve for x
    x = 689,347.87/705.40
  6. Step 6: Final answer
    x = 977.24

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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.