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Finding the Fourth Proportional to 1,130.02, 1,559.34 and 632.68

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Solution

The fourth proportional to 1,130.02, 1,559.34 and 632.68 is: 873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.02 : 1,559.34 = 632.68 : x
  2. Step 2: Convert to fraction form
    1,130.02/1,559.34 = 632.68/x
  3. Step 3: Cross multiply
    1,130.02x = 1,559.34 × 632.68
  4. Step 4: Simplify right side
    1,130.02x = 986,563.23
  5. Step 5: Solve for x
    x = 986,563.23/1,130.02
  6. Step 6: Final answer
    x = 873.05

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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.