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Finding the Fourth Proportional to 964, 1,329.78 and 591.16

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Solution

The fourth proportional to 964, 1,329.78 and 591.16 is: 815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    964 : 1,329.78 = 591.16 : x
  2. Step 2: Convert to fraction form
    964/1,329.78 = 591.16/x
  3. Step 3: Cross multiply
    964x = 1,329.78 × 591.16
  4. Step 4: Simplify right side
    964x = 786,112.74
  5. Step 5: Solve for x
    x = 786,112.74/964
  6. Step 6: Final answer
    x = 815.47

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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.