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Finding the Fourth Proportional to 1,298.32, 1,947.72 and 529.36

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Solution

The fourth proportional to 1,298.32, 1,947.72 and 529.36 is: 794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.32 : 1,947.72 = 529.36 : x
  2. Step 2: Convert to fraction form
    1,298.32/1,947.72 = 529.36/x
  3. Step 3: Cross multiply
    1,298.32x = 1,947.72 × 529.36
  4. Step 4: Simplify right side
    1,298.32x = 1,031,045.06
  5. Step 5: Solve for x
    x = 1,031,045.06/1,298.32
  6. Step 6: Final answer
    x = 794.14

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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.