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Finding the Fourth Proportional to 918.42, 1,265.94 and 752.34

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Solution

The fourth proportional to 918.42, 1,265.94 and 752.34 is: 1,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.42 : 1,265.94 = 752.34 : x
  2. Step 2: Convert to fraction form
    918.42/1,265.94 = 752.34/x
  3. Step 3: Cross multiply
    918.42x = 1,265.94 × 752.34
  4. Step 4: Simplify right side
    918.42x = 952,417.30
  5. Step 5: Solve for x
    x = 952,417.30/918.42
  6. Step 6: Final answer
    x = 1,037.02

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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.