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Finding the Fourth Proportional to 1,384.35, 2,075.52 and 715.59

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Solution

The fourth proportional to 1,384.35, 2,075.52 and 715.59 is: 1,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.35 : 2,075.52 = 715.59 : x
  2. Step 2: Convert to fraction form
    1,384.35/2,075.52 = 715.59/x
  3. Step 3: Cross multiply
    1,384.35x = 2,075.52 × 715.59
  4. Step 4: Simplify right side
    1,384.35x = 1,485,221.36
  5. Step 5: Solve for x
    x = 1,485,221.36/1,384.35
  6. Step 6: Final answer
    x = 1,072.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.