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Finding the Fourth Proportional to 1,055.84, 1,456.53 and 775.47

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Solution

The fourth proportional to 1,055.84, 1,456.53 and 775.47 is: 1,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.84 : 1,456.53 = 775.47 : x
  2. Step 2: Convert to fraction form
    1,055.84/1,456.53 = 775.47/x
  3. Step 3: Cross multiply
    1,055.84x = 1,456.53 × 775.47
  4. Step 4: Simplify right side
    1,055.84x = 1,129,502.24
  5. Step 5: Solve for x
    x = 1,129,502.24/1,055.84
  6. Step 6: Final answer
    x = 1,069.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.