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Finding the Fourth Proportional to 912.74, 1,374.16 and 626.06

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Solution

The fourth proportional to 912.74, 1,374.16 and 626.06 is: 942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.74 : 1,374.16 = 626.06 : x
  2. Step 2: Convert to fraction form
    912.74/1,374.16 = 626.06/x
  3. Step 3: Cross multiply
    912.74x = 1,374.16 × 626.06
  4. Step 4: Simplify right side
    912.74x = 860,303.48
  5. Step 5: Solve for x
    x = 860,303.48/912.74
  6. Step 6: Final answer
    x = 942.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.