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Finding the Fourth Proportional to 1,164.06, 1,606.38 and 722.07

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Solution

The fourth proportional to 1,164.06, 1,606.38 and 722.07 is: 996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.06 : 1,606.38 = 722.07 : x
  2. Step 2: Convert to fraction form
    1,164.06/1,606.38 = 722.07/x
  3. Step 3: Cross multiply
    1,164.06x = 1,606.38 × 722.07
  4. Step 4: Simplify right side
    1,164.06x = 1,159,918.81
  5. Step 5: Solve for x
    x = 1,159,918.81/1,164.06
  6. Step 6: Final answer
    x = 996.44

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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.