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Finding the Fourth Proportional to 1,398.94, 1,930.53 and 875.00

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Solution

The fourth proportional to 1,398.94, 1,930.53 and 875.00 is: 1,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.94 : 1,930.53 = 875.00 : x
  2. Step 2: Convert to fraction form
    1,398.94/1,930.53 = 875.00/x
  3. Step 3: Cross multiply
    1,398.94x = 1,930.53 × 875.00
  4. Step 4: Simplify right side
    1,398.94x = 1,689,221.86
  5. Step 5: Solve for x
    x = 1,689,221.86/1,398.94
  6. Step 6: Final answer
    x = 1,207.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.