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Finding the Fourth Proportional to 1,178.65, 1,626.42 and 654.63

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Solution

The fourth proportional to 1,178.65, 1,626.42 and 654.63 is: 903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.65 : 1,626.42 = 654.63 : x
  2. Step 2: Convert to fraction form
    1,178.65/1,626.42 = 654.63/x
  3. Step 3: Cross multiply
    1,178.65x = 1,626.42 × 654.63
  4. Step 4: Simplify right side
    1,178.65x = 1,064,703.32
  5. Step 5: Solve for x
    x = 1,064,703.32/1,178.65
  6. Step 6: Final answer
    x = 903.32

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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.