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Finding the Fourth Proportional to 1,551.90, 2,328.00 and 511.91

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Solution

The fourth proportional to 1,551.90, 2,328.00 and 511.91 is: 767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.90 : 2,328.00 = 511.91 : x
  2. Step 2: Convert to fraction form
    1,551.90/2,328.00 = 511.91/x
  3. Step 3: Cross multiply
    1,551.90x = 2,328.00 × 511.91
  4. Step 4: Simplify right side
    1,551.90x = 1,191,721.65
  5. Step 5: Solve for x
    x = 1,191,721.65/1,551.90
  6. Step 6: Final answer
    x = 767.91

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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.