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Finding the Fourth Proportional to 1,298.79, 1,948.23 and 529.83

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Solution

The fourth proportional to 1,298.79, 1,948.23 and 529.83 is: 794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.79 : 1,948.23 = 529.83 : x
  2. Step 2: Convert to fraction form
    1,298.79/1,948.23 = 529.83/x
  3. Step 3: Cross multiply
    1,298.79x = 1,948.23 × 529.83
  4. Step 4: Simplify right side
    1,298.79x = 1,032,230.70
  5. Step 5: Solve for x
    x = 1,032,230.70/1,298.79
  6. Step 6: Final answer
    x = 794.76

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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.