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Finding the Fourth Proportional to 1,130.61, 1,559.45 and 962.13

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Solution

The fourth proportional to 1,130.61, 1,559.45 and 962.13 is: 1,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.61 : 1,559.45 = 962.13 : x
  2. Step 2: Convert to fraction form
    1,130.61/1,559.45 = 962.13/x
  3. Step 3: Cross multiply
    1,130.61x = 1,559.45 × 962.13
  4. Step 4: Simplify right side
    1,130.61x = 1,500,388.82
  5. Step 5: Solve for x
    x = 1,500,388.82/1,130.61
  6. Step 6: Final answer
    x = 1,327.06

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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.