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Finding the Fourth Proportional to 1,417.96, 1,957.26 and 858.79

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Solution

The fourth proportional to 1,417.96, 1,957.26 and 858.79 is: 1,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.96 : 1,957.26 = 858.79 : x
  2. Step 2: Convert to fraction form
    1,417.96/1,957.26 = 858.79/x
  3. Step 3: Cross multiply
    1,417.96x = 1,957.26 × 858.79
  4. Step 4: Simplify right side
    1,417.96x = 1,680,875.32
  5. Step 5: Solve for x
    x = 1,680,875.32/1,417.96
  6. Step 6: Final answer
    x = 1,185.42

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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.