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Finding the Fourth Proportional to 941.53, 1,299.46 and 900.00

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Solution

The fourth proportional to 941.53, 1,299.46 and 900.00 is: 1,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.53 : 1,299.46 = 900.00 : x
  2. Step 2: Convert to fraction form
    941.53/1,299.46 = 900.00/x
  3. Step 3: Cross multiply
    941.53x = 1,299.46 × 900.00
  4. Step 4: Simplify right side
    941.53x = 1,169,518.99
  5. Step 5: Solve for x
    x = 1,169,518.99/941.53
  6. Step 6: Final answer
    x = 1,242.15

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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.