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Finding the Fourth Proportional to 1,178.53, 1,626.34 and 654.56

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Solution

The fourth proportional to 1,178.53, 1,626.34 and 654.56 is: 903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.53 : 1,626.34 = 654.56 : x
  2. Step 2: Convert to fraction form
    1,178.53/1,626.34 = 654.56/x
  3. Step 3: Cross multiply
    1,178.53x = 1,626.34 × 654.56
  4. Step 4: Simplify right side
    1,178.53x = 1,064,534.67
  5. Step 5: Solve for x
    x = 1,064,534.67/1,178.53
  6. Step 6: Final answer
    x = 903.28

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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.