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Finding the Fourth Proportional to 1,298.63, 1,947.66 and 373.98

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Solution

The fourth proportional to 1,298.63, 1,947.66 and 373.98 is: 560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.63 : 1,947.66 = 373.98 : x
  2. Step 2: Convert to fraction form
    1,298.63/1,947.66 = 373.98/x
  3. Step 3: Cross multiply
    1,298.63x = 1,947.66 × 373.98
  4. Step 4: Simplify right side
    1,298.63x = 728,385.89
  5. Step 5: Solve for x
    x = 728,385.89/1,298.63
  6. Step 6: Final answer
    x = 560.89

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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.