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Finding the Fourth Proportional to 1,055.80, 1,456.94 and 803.35

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Solution

The fourth proportional to 1,055.80, 1,456.94 and 803.35 is: 1,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.80 : 1,456.94 = 803.35 : x
  2. Step 2: Convert to fraction form
    1,055.80/1,456.94 = 803.35/x
  3. Step 3: Cross multiply
    1,055.80x = 1,456.94 × 803.35
  4. Step 4: Simplify right side
    1,055.80x = 1,170,421.45
  5. Step 5: Solve for x
    x = 1,170,421.45/1,055.80
  6. Step 6: Final answer
    x = 1,108.57

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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.