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Finding the Fourth Proportional to 1,417.83, 1,956.63 and 858.21

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Solution

The fourth proportional to 1,417.83, 1,956.63 and 858.21 is: 1,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.83 : 1,956.63 = 858.21 : x
  2. Step 2: Convert to fraction form
    1,417.83/1,956.63 = 858.21/x
  3. Step 3: Cross multiply
    1,417.83x = 1,956.63 × 858.21
  4. Step 4: Simplify right side
    1,417.83x = 1,679,199.43
  5. Step 5: Solve for x
    x = 1,679,199.43/1,417.83
  6. Step 6: Final answer
    x = 1,184.34

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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.