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Finding the Fourth Proportional to 1,346.95, 1,858.25 and 779.68

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Solution

The fourth proportional to 1,346.95, 1,858.25 and 779.68 is: 1,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.95 : 1,858.25 = 779.68 : x
  2. Step 2: Convert to fraction form
    1,346.95/1,858.25 = 779.68/x
  3. Step 3: Cross multiply
    1,346.95x = 1,858.25 × 779.68
  4. Step 4: Simplify right side
    1,346.95x = 1,448,837.66
  5. Step 5: Solve for x
    x = 1,448,837.66/1,346.95
  6. Step 6: Final answer
    x = 1,075.65

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1.5x scale

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.