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Finding the Fourth Proportional to 947.50, 1,307.55 and 533.50

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Solution

The fourth proportional to 947.50, 1,307.55 and 533.50 is: 736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.50 : 1,307.55 = 533.50 : x
  2. Step 2: Convert to fraction form
    947.50/1,307.55 = 533.50/x
  3. Step 3: Cross multiply
    947.50x = 1,307.55 × 533.50
  4. Step 4: Simplify right side
    947.50x = 697,577.93
  5. Step 5: Solve for x
    x = 697,577.93/947.50
  6. Step 6: Final answer
    x = 736.23

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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.