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Finding the Fourth Proportional to 738.09, 1,106.49 and 701.64

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Solution

The fourth proportional to 738.09, 1,106.49 and 701.64 is: 1,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.09 : 1,106.49 = 701.64 : x
  2. Step 2: Convert to fraction form
    738.09/1,106.49 = 701.64/x
  3. Step 3: Cross multiply
    738.09x = 1,106.49 × 701.64
  4. Step 4: Simplify right side
    738.09x = 776,357.64
  5. Step 5: Solve for x
    x = 776,357.64/738.09
  6. Step 6: Final answer
    x = 1,051.85

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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.