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Finding the Fourth Proportional to 1,383.65, 2,075.29 and 561.93

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Solution

The fourth proportional to 1,383.65, 2,075.29 and 561.93 is: 842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.65 : 2,075.29 = 561.93 : x
  2. Step 2: Convert to fraction form
    1,383.65/2,075.29 = 561.93/x
  3. Step 3: Cross multiply
    1,383.65x = 2,075.29 × 561.93
  4. Step 4: Simplify right side
    1,383.65x = 1,166,167.71
  5. Step 5: Solve for x
    x = 1,166,167.71/1,383.65
  6. Step 6: Final answer
    x = 842.82

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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.