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Finding the Fourth Proportional to 1,130.00, 1,559.43 and 632.61

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Solution

The fourth proportional to 1,130.00, 1,559.43 and 632.61 is: 873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.00 : 1,559.43 = 632.61 : x
  2. Step 2: Convert to fraction form
    1,130.00/1,559.43 = 632.61/x
  3. Step 3: Cross multiply
    1,130.00x = 1,559.43 × 632.61
  4. Step 4: Simplify right side
    1,130.00x = 986,511.01
  5. Step 5: Solve for x
    x = 986,511.01/1,130.00
  6. Step 6: Final answer
    x = 873.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.