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Finding the Fourth Proportional to 1,247.07, 1,870.52 and 692.04

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Solution

The fourth proportional to 1,247.07, 1,870.52 and 692.04 is: 1,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.07 : 1,870.52 = 692.04 : x
  2. Step 2: Convert to fraction form
    1,247.07/1,870.52 = 692.04/x
  3. Step 3: Cross multiply
    1,247.07x = 1,870.52 × 692.04
  4. Step 4: Simplify right side
    1,247.07x = 1,294,478.60
  5. Step 5: Solve for x
    x = 1,294,478.60/1,247.07
  6. Step 6: Final answer
    x = 1,038.01

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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.