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Finding the Fourth Proportional to 912.90, 1,261.50 and 747.05

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Solution

The fourth proportional to 912.90, 1,261.50 and 747.05 is: 1,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.90 : 1,261.50 = 747.05 : x
  2. Step 2: Convert to fraction form
    912.90/1,261.50 = 747.05/x
  3. Step 3: Cross multiply
    912.90x = 1,261.50 × 747.05
  4. Step 4: Simplify right side
    912.90x = 942,403.58
  5. Step 5: Solve for x
    x = 942,403.58/912.90
  6. Step 6: Final answer
    x = 1,032.32

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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.