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Finding the Fourth Proportional to 1,130.14, 1,559.56 and 632.75

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Solution

The fourth proportional to 1,130.14, 1,559.56 and 632.75 is: 873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.14 : 1,559.56 = 632.75 : x
  2. Step 2: Convert to fraction form
    1,130.14/1,559.56 = 632.75/x
  3. Step 3: Cross multiply
    1,130.14x = 1,559.56 × 632.75
  4. Step 4: Simplify right side
    1,130.14x = 986,808.43
  5. Step 5: Solve for x
    x = 986,808.43/1,130.14
  6. Step 6: Final answer
    x = 873.18

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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.