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Finding the Fourth Proportional to 1,253.60, 1,880.56 and 523.00

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Solution

The fourth proportional to 1,253.60, 1,880.56 and 523.00 is: 784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.60 : 1,880.56 = 523.00 : x
  2. Step 2: Convert to fraction form
    1,253.60/1,880.56 = 523.00/x
  3. Step 3: Cross multiply
    1,253.60x = 1,880.56 × 523.00
  4. Step 4: Simplify right side
    1,253.60x = 983,526.87
  5. Step 5: Solve for x
    x = 983,526.87/1,253.60
  6. Step 6: Final answer
    x = 784.57

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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.