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Finding the Fourth Proportional to 1,298.59, 1,948.14 and 374.15

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Solution

The fourth proportional to 1,298.59, 1,948.14 and 374.15 is: 561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.59 : 1,948.14 = 374.15 : x
  2. Step 2: Convert to fraction form
    1,298.59/1,948.14 = 374.15/x
  3. Step 3: Cross multiply
    1,298.59x = 1,948.14 × 374.15
  4. Step 4: Simplify right side
    1,298.59x = 728,901.45
  5. Step 5: Solve for x
    x = 728,901.45/1,298.59
  6. Step 6: Final answer
    x = 561.30

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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.