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Finding the Fourth Proportional to 1,055.68, 1,454.40 and 760.42

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Solution

The fourth proportional to 1,055.68, 1,454.40 and 760.42 is: 1,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.68 : 1,454.40 = 760.42 : x
  2. Step 2: Convert to fraction form
    1,055.68/1,454.40 = 760.42/x
  3. Step 3: Cross multiply
    1,055.68x = 1,454.40 × 760.42
  4. Step 4: Simplify right side
    1,055.68x = 1,105,954.85
  5. Step 5: Solve for x
    x = 1,105,954.85/1,055.68
  6. Step 6: Final answer
    x = 1,047.62

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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.