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Finding the Fourth Proportional to 953.96, 1,316.45 and 555.71

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Solution

The fourth proportional to 953.96, 1,316.45 and 555.71 is: 766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.96 : 1,316.45 = 555.71 : x
  2. Step 2: Convert to fraction form
    953.96/1,316.45 = 555.71/x
  3. Step 3: Cross multiply
    953.96x = 1,316.45 × 555.71
  4. Step 4: Simplify right side
    953.96x = 731,559.24
  5. Step 5: Solve for x
    x = 731,559.24/953.96
  6. Step 6: Final answer
    x = 766.86

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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.