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Finding the Fourth Proportional to 1,298.75, 1,948.45 and 374.38

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Solution

The fourth proportional to 1,298.75, 1,948.45 and 374.38 is: 561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.75 : 1,948.45 = 374.38 : x
  2. Step 2: Convert to fraction form
    1,298.75/1,948.45 = 374.38/x
  3. Step 3: Cross multiply
    1,298.75x = 1,948.45 × 374.38
  4. Step 4: Simplify right side
    1,298.75x = 729,460.71
  5. Step 5: Solve for x
    x = 729,460.71/1,298.75
  6. Step 6: Final answer
    x = 561.66

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