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Finding the Fourth Proportional to 1,090.96, 1,506.08 and 738.74

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Solution

The fourth proportional to 1,090.96, 1,506.08 and 738.74 is: 1,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.96 : 1,506.08 = 738.74 : x
  2. Step 2: Convert to fraction form
    1,090.96/1,506.08 = 738.74/x
  3. Step 3: Cross multiply
    1,090.96x = 1,506.08 × 738.74
  4. Step 4: Simplify right side
    1,090.96x = 1,112,601.54
  5. Step 5: Solve for x
    x = 1,112,601.54/1,090.96
  6. Step 6: Final answer
    x = 1,019.84

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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.