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Finding the Fourth Proportional to 779.58, 1,077.84 and 745.16

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Solution

The fourth proportional to 779.58, 1,077.84 and 745.16 is: 1,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.58 : 1,077.84 = 745.16 : x
  2. Step 2: Convert to fraction form
    779.58/1,077.84 = 745.16/x
  3. Step 3: Cross multiply
    779.58x = 1,077.84 × 745.16
  4. Step 4: Simplify right side
    779.58x = 803,157.87
  5. Step 5: Solve for x
    x = 803,157.87/779.58
  6. Step 6: Final answer
    x = 1,030.24

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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.