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Finding the Fourth Proportional to 1,165.25, 1,607.89 and 693.15

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Solution

The fourth proportional to 1,165.25, 1,607.89 and 693.15 is: 956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.25 : 1,607.89 = 693.15 : x
  2. Step 2: Convert to fraction form
    1,165.25/1,607.89 = 693.15/x
  3. Step 3: Cross multiply
    1,165.25x = 1,607.89 × 693.15
  4. Step 4: Simplify right side
    1,165.25x = 1,114,508.95
  5. Step 5: Solve for x
    x = 1,114,508.95/1,165.25
  6. Step 6: Final answer
    x = 956.45

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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.