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Finding the Fourth Proportional to 1,430.36, 2,145.54 and 506.00

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Solution

The fourth proportional to 1,430.36, 2,145.54 and 506.00 is: 759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.36 : 2,145.54 = 506.00 : x
  2. Step 2: Convert to fraction form
    1,430.36/2,145.54 = 506.00/x
  3. Step 3: Cross multiply
    1,430.36x = 2,145.54 × 506.00
  4. Step 4: Simplify right side
    1,430.36x = 1,085,635.59
  5. Step 5: Solve for x
    x = 1,085,635.59/1,430.36
  6. Step 6: Final answer
    x = 759.00

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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.