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Finding the Fourth Proportional to 1,301.67, 1,952.52 and 435.98

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Solution

The fourth proportional to 1,301.67, 1,952.52 and 435.98 is: 653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.67 : 1,952.52 = 435.98 : x
  2. Step 2: Convert to fraction form
    1,301.67/1,952.52 = 435.98/x
  3. Step 3: Cross multiply
    1,301.67x = 1,952.52 × 435.98
  4. Step 4: Simplify right side
    1,301.67x = 851,259.67
  5. Step 5: Solve for x
    x = 851,259.67/1,301.67
  6. Step 6: Final answer
    x = 653.98

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