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Finding the Fourth Proportional to 1,055.94, 1,457.64 and 778.38

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Solution

The fourth proportional to 1,055.94, 1,457.64 and 778.38 is: 1,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.94 : 1,457.64 = 778.38 : x
  2. Step 2: Convert to fraction form
    1,055.94/1,457.64 = 778.38/x
  3. Step 3: Cross multiply
    1,055.94x = 1,457.64 × 778.38
  4. Step 4: Simplify right side
    1,055.94x = 1,134,597.82
  5. Step 5: Solve for x
    x = 1,134,597.82/1,055.94
  6. Step 6: Final answer
    x = 1,074.49

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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.