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Finding the Fourth Proportional to 1,164.84, 1,607.58 and 766.53

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Solution

The fourth proportional to 1,164.84, 1,607.58 and 766.53 is: 1,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.84 : 1,607.58 = 766.53 : x
  2. Step 2: Convert to fraction form
    1,164.84/1,607.58 = 766.53/x
  3. Step 3: Cross multiply
    1,164.84x = 1,607.58 × 766.53
  4. Step 4: Simplify right side
    1,164.84x = 1,232,258.30
  5. Step 5: Solve for x
    x = 1,232,258.30/1,164.84
  6. Step 6: Final answer
    x = 1,057.88

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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.