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Finding the Fourth Proportional to 1,298.40, 1,946.80 and 518.52

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Solution

The fourth proportional to 1,298.40, 1,946.80 and 518.52 is: 777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.40 : 1,946.80 = 518.52 : x
  2. Step 2: Convert to fraction form
    1,298.40/1,946.80 = 518.52/x
  3. Step 3: Cross multiply
    1,298.40x = 1,946.80 × 518.52
  4. Step 4: Simplify right side
    1,298.40x = 1,009,454.74
  5. Step 5: Solve for x
    x = 1,009,454.74/1,298.40
  6. Step 6: Final answer
    x = 777.46

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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.