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Finding the Fourth Proportional to 1,165.43, 1,607.08 and 811.75

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Solution

The fourth proportional to 1,165.43, 1,607.08 and 811.75 is: 1,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.43 : 1,607.08 = 811.75 : x
  2. Step 2: Convert to fraction form
    1,165.43/1,607.08 = 811.75/x
  3. Step 3: Cross multiply
    1,165.43x = 1,607.08 × 811.75
  4. Step 4: Simplify right side
    1,165.43x = 1,304,547.19
  5. Step 5: Solve for x
    x = 1,304,547.19/1,165.43
  6. Step 6: Final answer
    x = 1,119.37

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1.5x scale

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.