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Finding the Fourth Proportional to 1,420.51, 2,130.75 and 775.33

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Solution

The fourth proportional to 1,420.51, 2,130.75 and 775.33 is: 1,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.51 : 2,130.75 = 775.33 : x
  2. Step 2: Convert to fraction form
    1,420.51/2,130.75 = 775.33/x
  3. Step 3: Cross multiply
    1,420.51x = 2,130.75 × 775.33
  4. Step 4: Simplify right side
    1,420.51x = 1,652,034.40
  5. Step 5: Solve for x
    x = 1,652,034.40/1,420.51
  6. Step 6: Final answer
    x = 1,162.99

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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.