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Finding the Fourth Proportional to 947.51, 1,307.63 and 527.88

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Solution

The fourth proportional to 947.51, 1,307.63 and 527.88 is: 728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.51 : 1,307.63 = 527.88 : x
  2. Step 2: Convert to fraction form
    947.51/1,307.63 = 527.88/x
  3. Step 3: Cross multiply
    947.51x = 1,307.63 × 527.88
  4. Step 4: Simplify right side
    947.51x = 690,269.09
  5. Step 5: Solve for x
    x = 690,269.09/947.51
  6. Step 6: Final answer
    x = 728.51

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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.