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Finding the Fourth Proportional to 1,417.70, 1,956.46 and 858.06

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Solution

The fourth proportional to 1,417.70, 1,956.46 and 858.06 is: 1,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.70 : 1,956.46 = 858.06 : x
  2. Step 2: Convert to fraction form
    1,417.70/1,956.46 = 858.06/x
  3. Step 3: Cross multiply
    1,417.70x = 1,956.46 × 858.06
  4. Step 4: Simplify right side
    1,417.70x = 1,678,760.07
  5. Step 5: Solve for x
    x = 1,678,760.07/1,417.70
  6. Step 6: Final answer
    x = 1,184.14

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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.