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Finding the Fourth Proportional to 1,130.63, 1,563.50 and 1,079.06

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Solution

The fourth proportional to 1,130.63, 1,563.50 and 1,079.06 is: 1,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.63 : 1,563.50 = 1,079.06 : x
  2. Step 2: Convert to fraction form
    1,130.63/1,563.50 = 1,079.06/x
  3. Step 3: Cross multiply
    1,130.63x = 1,563.50 × 1,079.06
  4. Step 4: Simplify right side
    1,130.63x = 1,687,105.19
  5. Step 5: Solve for x
    x = 1,687,105.19/1,130.63
  6. Step 6: Final answer
    x = 1,492.19

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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.