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Finding the Fourth Proportional to 1,070.94, 1,477.44 and 651.12

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Solution

The fourth proportional to 1,070.94, 1,477.44 and 651.12 is: 898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.94 : 1,477.44 = 651.12 : x
  2. Step 2: Convert to fraction form
    1,070.94/1,477.44 = 651.12/x
  3. Step 3: Cross multiply
    1,070.94x = 1,477.44 × 651.12
  4. Step 4: Simplify right side
    1,070.94x = 961,990.73
  5. Step 5: Solve for x
    x = 961,990.73/1,070.94
  6. Step 6: Final answer
    x = 898.27

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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.