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Finding the Fourth Proportional to 1,152.84, 1,589.94 and 779.72

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Solution

The fourth proportional to 1,152.84, 1,589.94 and 779.72 is: 1,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.84 : 1,589.94 = 779.72 : x
  2. Step 2: Convert to fraction form
    1,152.84/1,589.94 = 779.72/x
  3. Step 3: Cross multiply
    1,152.84x = 1,589.94 × 779.72
  4. Step 4: Simplify right side
    1,152.84x = 1,239,708.02
  5. Step 5: Solve for x
    x = 1,239,708.02/1,152.84
  6. Step 6: Final answer
    x = 1,075.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.