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Finding the Fourth Proportional to 945.51, 1,304.66 and 525.86

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Solution

The fourth proportional to 945.51, 1,304.66 and 525.86 is: 725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.51 : 1,304.66 = 525.86 : x
  2. Step 2: Convert to fraction form
    945.51/1,304.66 = 525.86/x
  3. Step 3: Cross multiply
    945.51x = 1,304.66 × 525.86
  4. Step 4: Simplify right side
    945.51x = 686,068.51
  5. Step 5: Solve for x
    x = 686,068.51/945.51
  6. Step 6: Final answer
    x = 725.61

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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.