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Finding the Fourth Proportional to 945.73, 1,305.06 and 526.10

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Solution

The fourth proportional to 945.73, 1,305.06 and 526.10 is: 725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.73 : 1,305.06 = 526.10 : x
  2. Step 2: Convert to fraction form
    945.73/1,305.06 = 526.10/x
  3. Step 3: Cross multiply
    945.73x = 1,305.06 × 526.10
  4. Step 4: Simplify right side
    945.73x = 686,586.53
  5. Step 5: Solve for x
    x = 686,586.53/945.73
  6. Step 6: Final answer
    x = 725.99

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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.