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Finding the Fourth Proportional to 912.23, 1,257.77 and 735.38

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Solution

The fourth proportional to 912.23, 1,257.77 and 735.38 is: 1,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.23 : 1,257.77 = 735.38 : x
  2. Step 2: Convert to fraction form
    912.23/1,257.77 = 735.38/x
  3. Step 3: Cross multiply
    912.23x = 1,257.77 × 735.38
  4. Step 4: Simplify right side
    912.23x = 924,935.23
  5. Step 5: Solve for x
    x = 924,935.23/912.23
  6. Step 6: Final answer
    x = 1,013.93

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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.