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Finding the Fourth Proportional to 1,298.32, 1,947.36 and 750.08

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Solution

The fourth proportional to 1,298.32, 1,947.36 and 750.08 is: 1,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.32 : 1,947.36 = 750.08 : x
  2. Step 2: Convert to fraction form
    1,298.32/1,947.36 = 750.08/x
  3. Step 3: Cross multiply
    1,298.32x = 1,947.36 × 750.08
  4. Step 4: Simplify right side
    1,298.32x = 1,460,675.79
  5. Step 5: Solve for x
    x = 1,460,675.79/1,298.32
  6. Step 6: Final answer
    x = 1,125.05

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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.