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Finding the Fourth Proportional to 1,384.32, 2,075.40 and 691.26

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Solution

The fourth proportional to 1,384.32, 2,075.40 and 691.26 is: 1,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.32 : 2,075.40 = 691.26 : x
  2. Step 2: Convert to fraction form
    1,384.32/2,075.40 = 691.26/x
  3. Step 3: Cross multiply
    1,384.32x = 2,075.40 × 691.26
  4. Step 4: Simplify right side
    1,384.32x = 1,434,641.00
  5. Step 5: Solve for x
    x = 1,434,641.00/1,384.32
  6. Step 6: Final answer
    x = 1,036.35

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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.