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Finding the Fourth Proportional to 779.68, 1,075.40 and 746.46

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Solution

The fourth proportional to 779.68, 1,075.40 and 746.46 is: 1,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.68 : 1,075.40 = 746.46 : x
  2. Step 2: Convert to fraction form
    779.68/1,075.40 = 746.46/x
  3. Step 3: Cross multiply
    779.68x = 1,075.40 × 746.46
  4. Step 4: Simplify right side
    779.68x = 802,743.08
  5. Step 5: Solve for x
    x = 802,743.08/779.68
  6. Step 6: Final answer
    x = 1,029.58

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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.