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Finding the Fourth Proportional to 1,383.77, 2,075.07 and 561.47

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Solution

The fourth proportional to 1,383.77, 2,075.07 and 561.47 is: 841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.77 : 2,075.07 = 561.47 : x
  2. Step 2: Convert to fraction form
    1,383.77/2,075.07 = 561.47/x
  3. Step 3: Cross multiply
    1,383.77x = 2,075.07 × 561.47
  4. Step 4: Simplify right side
    1,383.77x = 1,165,079.18
  5. Step 5: Solve for x
    x = 1,165,079.18/1,383.77
  6. Step 6: Final answer
    x = 841.96

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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.