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Finding the Fourth Proportional to 1,276.64, 1,762.30 and 779.46

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Solution

The fourth proportional to 1,276.64, 1,762.30 and 779.46 is: 1,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.64 : 1,762.30 = 779.46 : x
  2. Step 2: Convert to fraction form
    1,276.64/1,762.30 = 779.46/x
  3. Step 3: Cross multiply
    1,276.64x = 1,762.30 × 779.46
  4. Step 4: Simplify right side
    1,276.64x = 1,373,639.90
  5. Step 5: Solve for x
    x = 1,373,639.90/1,276.64
  6. Step 6: Final answer
    x = 1,075.98

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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.