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Finding the Fourth Proportional to 1,397.74, 1,929.55 and 944.30

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Solution

The fourth proportional to 1,397.74, 1,929.55 and 944.30 is: 1,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.74 : 1,929.55 = 944.30 : x
  2. Step 2: Convert to fraction form
    1,397.74/1,929.55 = 944.30/x
  3. Step 3: Cross multiply
    1,397.74x = 1,929.55 × 944.30
  4. Step 4: Simplify right side
    1,397.74x = 1,822,074.07
  5. Step 5: Solve for x
    x = 1,822,074.07/1,397.74
  6. Step 6: Final answer
    x = 1,303.59

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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.