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Finding the Fourth Proportional to 945.63, 1,304.97 and 526.02

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Solution

The fourth proportional to 945.63, 1,304.97 and 526.02 is: 725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.63 : 1,304.97 = 526.02 : x
  2. Step 2: Convert to fraction form
    945.63/1,304.97 = 526.02/x
  3. Step 3: Cross multiply
    945.63x = 1,304.97 × 526.02
  4. Step 4: Simplify right side
    945.63x = 686,440.32
  5. Step 5: Solve for x
    x = 686,440.32/945.63
  6. Step 6: Final answer
    x = 725.91

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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.