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Finding the Fourth Proportional to 1,420.00, 2,130.29 and 598.27

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Solution

The fourth proportional to 1,420.00, 2,130.29 and 598.27 is: 897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.00 : 2,130.29 = 598.27 : x
  2. Step 2: Convert to fraction form
    1,420.00/2,130.29 = 598.27/x
  3. Step 3: Cross multiply
    1,420.00x = 2,130.29 × 598.27
  4. Step 4: Simplify right side
    1,420.00x = 1,274,499.20
  5. Step 5: Solve for x
    x = 1,274,499.20/1,420.00
  6. Step 6: Final answer
    x = 897.53

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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.