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Finding the Fourth Proportional to 1,383.74, 2,075.31 and 459.08

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Solution

The fourth proportional to 1,383.74, 2,075.31 and 459.08 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.74 : 2,075.31 = 459.08 : x
  2. Step 2: Convert to fraction form
    1,383.74/2,075.31 = 459.08/x
  3. Step 3: Cross multiply
    1,383.74x = 2,075.31 × 459.08
  4. Step 4: Simplify right side
    1,383.74x = 952,733.31
  5. Step 5: Solve for x
    x = 952,733.31/1,383.74
  6. Step 6: Final answer
    x = 688.52

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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.