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Finding the Fourth Proportional to 702.77, 969.83 and 440.93

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Solution

The fourth proportional to 702.77, 969.83 and 440.93 is: 608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.77 : 969.83 = 440.93 : x
  2. Step 2: Convert to fraction form
    702.77/969.83 = 440.93/x
  3. Step 3: Cross multiply
    702.77x = 969.83 × 440.93
  4. Step 4: Simplify right side
    702.77x = 427,620.09
  5. Step 5: Solve for x
    x = 427,620.09/702.77
  6. Step 6: Final answer
    x = 608.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.