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Finding the Fourth Proportional to 1,032.34, 1,423.82 and 914.44

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Solution

The fourth proportional to 1,032.34, 1,423.82 and 914.44 is: 1,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.34 : 1,423.82 = 914.44 : x
  2. Step 2: Convert to fraction form
    1,032.34/1,423.82 = 914.44/x
  3. Step 3: Cross multiply
    1,032.34x = 1,423.82 × 914.44
  4. Step 4: Simplify right side
    1,032.34x = 1,301,997.96
  5. Step 5: Solve for x
    x = 1,301,997.96/1,032.34
  6. Step 6: Final answer
    x = 1,261.21

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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.