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Finding the Fourth Proportional to 953.96, 1,316.40 and 528.59

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Solution

The fourth proportional to 953.96, 1,316.40 and 528.59 is: 729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.96 : 1,316.40 = 528.59 : x
  2. Step 2: Convert to fraction form
    953.96/1,316.40 = 528.59/x
  3. Step 3: Cross multiply
    953.96x = 1,316.40 × 528.59
  4. Step 4: Simplify right side
    953.96x = 695,829.95
  5. Step 5: Solve for x
    x = 695,829.95/953.96
  6. Step 6: Final answer
    x = 729.41

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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.