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Finding the Fourth Proportional to 701.09, 1,055.29 and 595.39

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Solution

The fourth proportional to 701.09, 1,055.29 and 595.39 is: 896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.09 : 1,055.29 = 595.39 : x
  2. Step 2: Convert to fraction form
    701.09/1,055.29 = 595.39/x
  3. Step 3: Cross multiply
    701.09x = 1,055.29 × 595.39
  4. Step 4: Simplify right side
    701.09x = 628,303.84
  5. Step 5: Solve for x
    x = 628,303.84/701.09
  6. Step 6: Final answer
    x = 896.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.