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Finding the Fourth Proportional to 953.92, 1,316.54 and 561.08

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Solution

The fourth proportional to 953.92, 1,316.54 and 561.08 is: 774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.92 : 1,316.54 = 561.08 : x
  2. Step 2: Convert to fraction form
    953.92/1,316.54 = 561.08/x
  3. Step 3: Cross multiply
    953.92x = 1,316.54 × 561.08
  4. Step 4: Simplify right side
    953.92x = 738,684.26
  5. Step 5: Solve for x
    x = 738,684.26/953.92
  6. Step 6: Final answer
    x = 774.37

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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.