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Finding the Fourth Proportional to 956.05, 1,319.47 and 557.84

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Solution

The fourth proportional to 956.05, 1,319.47 and 557.84 is: 769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.05 : 1,319.47 = 557.84 : x
  2. Step 2: Convert to fraction form
    956.05/1,319.47 = 557.84/x
  3. Step 3: Cross multiply
    956.05x = 1,319.47 × 557.84
  4. Step 4: Simplify right side
    956.05x = 736,055.05
  5. Step 5: Solve for x
    x = 736,055.05/956.05
  6. Step 6: Final answer
    x = 769.89

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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.