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Finding the Fourth Proportional to 945.69, 1,305.01 and 526.02

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Solution

The fourth proportional to 945.69, 1,305.01 and 526.02 is: 725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.69 : 1,305.01 = 526.02 : x
  2. Step 2: Convert to fraction form
    945.69/1,305.01 = 526.02/x
  3. Step 3: Cross multiply
    945.69x = 1,305.01 × 526.02
  4. Step 4: Simplify right side
    945.69x = 686,461.36
  5. Step 5: Solve for x
    x = 686,461.36/945.69
  6. Step 6: Final answer
    x = 725.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.