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Finding the Fourth Proportional to 900.40, 1,348.74 and 683.32

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Solution

The fourth proportional to 900.40, 1,348.74 and 683.32 is: 1,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.40 : 1,348.74 = 683.32 : x
  2. Step 2: Convert to fraction form
    900.40/1,348.74 = 683.32/x
  3. Step 3: Cross multiply
    900.40x = 1,348.74 × 683.32
  4. Step 4: Simplify right side
    900.40x = 921,621.02
  5. Step 5: Solve for x
    x = 921,621.02/900.40
  6. Step 6: Final answer
    x = 1,023.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.