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Finding the Fourth Proportional to 1,308.50, 1,962.92 and 692.23

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Solution

The fourth proportional to 1,308.50, 1,962.92 and 692.23 is: 1,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.50 : 1,962.92 = 692.23 : x
  2. Step 2: Convert to fraction form
    1,308.50/1,962.92 = 692.23/x
  3. Step 3: Cross multiply
    1,308.50x = 1,962.92 × 692.23
  4. Step 4: Simplify right side
    1,308.50x = 1,358,792.11
  5. Step 5: Solve for x
    x = 1,358,792.11/1,308.50
  6. Step 6: Final answer
    x = 1,038.43

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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.