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Finding the Fourth Proportional to 1,120.93, 1,681.55 and 390.34

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Solution

The fourth proportional to 1,120.93, 1,681.55 and 390.34 is: 585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.93 : 1,681.55 = 390.34 : x
  2. Step 2: Convert to fraction form
    1,120.93/1,681.55 = 390.34/x
  3. Step 3: Cross multiply
    1,120.93x = 1,681.55 × 390.34
  4. Step 4: Simplify right side
    1,120.93x = 656,377.40
  5. Step 5: Solve for x
    x = 656,377.40/1,120.93
  6. Step 6: Final answer
    x = 585.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.