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Finding the Fourth Proportional to 1,074.16, 1,482.63 and 626.41

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Solution

The fourth proportional to 1,074.16, 1,482.63 and 626.41 is: 864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.16 : 1,482.63 = 626.41 : x
  2. Step 2: Convert to fraction form
    1,074.16/1,482.63 = 626.41/x
  3. Step 3: Cross multiply
    1,074.16x = 1,482.63 × 626.41
  4. Step 4: Simplify right side
    1,074.16x = 928,731.35
  5. Step 5: Solve for x
    x = 928,731.35/1,074.16
  6. Step 6: Final answer
    x = 864.61

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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.