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Finding the Fourth Proportional to 1,622.90, 2,434.59 and 648.98

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Solution

The fourth proportional to 1,622.90, 2,434.59 and 648.98 is: 973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.90 : 2,434.59 = 648.98 : x
  2. Step 2: Convert to fraction form
    1,622.90/2,434.59 = 648.98/x
  3. Step 3: Cross multiply
    1,622.90x = 2,434.59 × 648.98
  4. Step 4: Simplify right side
    1,622.90x = 1,580,000.22
  5. Step 5: Solve for x
    x = 1,580,000.22/1,622.90
  6. Step 6: Final answer
    x = 973.57

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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.