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Finding the Fourth Proportional to 1,166.03, 1,608.37 and 773.06

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Solution

The fourth proportional to 1,166.03, 1,608.37 and 773.06 is: 1,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.03 : 1,608.37 = 773.06 : x
  2. Step 2: Convert to fraction form
    1,166.03/1,608.37 = 773.06/x
  3. Step 3: Cross multiply
    1,166.03x = 1,608.37 × 773.06
  4. Step 4: Simplify right side
    1,166.03x = 1,243,366.51
  5. Step 5: Solve for x
    x = 1,243,366.51/1,166.03
  6. Step 6: Final answer
    x = 1,066.32

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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.