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Finding the Fourth Proportional to 1,070.64, 1,476.77 and 805.77

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Solution

The fourth proportional to 1,070.64, 1,476.77 and 805.77 is: 1,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.64 : 1,476.77 = 805.77 : x
  2. Step 2: Convert to fraction form
    1,070.64/1,476.77 = 805.77/x
  3. Step 3: Cross multiply
    1,070.64x = 1,476.77 × 805.77
  4. Step 4: Simplify right side
    1,070.64x = 1,189,932.93
  5. Step 5: Solve for x
    x = 1,189,932.93/1,070.64
  6. Step 6: Final answer
    x = 1,111.42

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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.