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Finding the Fourth Proportional to 1,165.16, 1,607.73 and 660.98

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Solution

The fourth proportional to 1,165.16, 1,607.73 and 660.98 is: 912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.16 : 1,607.73 = 660.98 : x
  2. Step 2: Convert to fraction form
    1,165.16/1,607.73 = 660.98/x
  3. Step 3: Cross multiply
    1,165.16x = 1,607.73 × 660.98
  4. Step 4: Simplify right side
    1,165.16x = 1,062,681.39
  5. Step 5: Solve for x
    x = 1,062,681.39/1,165.16
  6. Step 6: Final answer
    x = 912.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.