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Finding the Fourth Proportional to 945.72, 1,305.13 and 526.07

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Solution

The fourth proportional to 945.72, 1,305.13 and 526.07 is: 726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.72 : 1,305.13 = 526.07 : x
  2. Step 2: Convert to fraction form
    945.72/1,305.13 = 526.07/x
  3. Step 3: Cross multiply
    945.72x = 1,305.13 × 526.07
  4. Step 4: Simplify right side
    945.72x = 686,589.74
  5. Step 5: Solve for x
    x = 686,589.74/945.72
  6. Step 6: Final answer
    x = 726.00

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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.