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Finding the Fourth Proportional to 1,417.91, 1,957.37 and 828.63

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Solution

The fourth proportional to 1,417.91, 1,957.37 and 828.63 is: 1,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.91 : 1,957.37 = 828.63 : x
  2. Step 2: Convert to fraction form
    1,417.91/1,957.37 = 828.63/x
  3. Step 3: Cross multiply
    1,417.91x = 1,957.37 × 828.63
  4. Step 4: Simplify right side
    1,417.91x = 1,621,931.36
  5. Step 5: Solve for x
    x = 1,621,931.36/1,417.91
  6. Step 6: Final answer
    x = 1,143.89

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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.