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Finding the Fourth Proportional to 1,150.08, 1,587.68 and 779.01

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Solution

The fourth proportional to 1,150.08, 1,587.68 and 779.01 is: 1,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.08 : 1,587.68 = 779.01 : x
  2. Step 2: Convert to fraction form
    1,150.08/1,587.68 = 779.01/x
  3. Step 3: Cross multiply
    1,150.08x = 1,587.68 × 779.01
  4. Step 4: Simplify right side
    1,150.08x = 1,236,818.60
  5. Step 5: Solve for x
    x = 1,236,818.60/1,150.08
  6. Step 6: Final answer
    x = 1,075.42

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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.