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Finding the Fourth Proportional to 1,622.40, 2,433.72 and 698.02

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Solution

The fourth proportional to 1,622.40, 2,433.72 and 698.02 is: 1,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.40 : 2,433.72 = 698.02 : x
  2. Step 2: Convert to fraction form
    1,622.40/2,433.72 = 698.02/x
  3. Step 3: Cross multiply
    1,622.40x = 2,433.72 × 698.02
  4. Step 4: Simplify right side
    1,622.40x = 1,698,779.80
  5. Step 5: Solve for x
    x = 1,698,779.80/1,622.40
  6. Step 6: Final answer
    x = 1,047.08

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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.