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Finding the Fourth Proportional to 1,059.79, 1,462.65 and 617.93

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Solution

The fourth proportional to 1,059.79, 1,462.65 and 617.93 is: 852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.79 : 1,462.65 = 617.93 : x
  2. Step 2: Convert to fraction form
    1,059.79/1,462.65 = 617.93/x
  3. Step 3: Cross multiply
    1,059.79x = 1,462.65 × 617.93
  4. Step 4: Simplify right side
    1,059.79x = 903,815.31
  5. Step 5: Solve for x
    x = 903,815.31/1,059.79
  6. Step 6: Final answer
    x = 852.82

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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.