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Finding the Fourth Proportional to 1,246.95, 1,870.41 and 692.00

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Solution

The fourth proportional to 1,246.95, 1,870.41 and 692.00 is: 1,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.95 : 1,870.41 = 692.00 : x
  2. Step 2: Convert to fraction form
    1,246.95/1,870.41 = 692.00/x
  3. Step 3: Cross multiply
    1,246.95x = 1,870.41 × 692.00
  4. Step 4: Simplify right side
    1,246.95x = 1,294,323.98
  5. Step 5: Solve for x
    x = 1,294,323.98/1,246.95
  6. Step 6: Final answer
    x = 1,037.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.