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Finding the Fourth Proportional to 1,353.17, 1,867.47 and 763.76

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Solution

The fourth proportional to 1,353.17, 1,867.47 and 763.76 is: 1,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.17 : 1,867.47 = 763.76 : x
  2. Step 2: Convert to fraction form
    1,353.17/1,867.47 = 763.76/x
  3. Step 3: Cross multiply
    1,353.17x = 1,867.47 × 763.76
  4. Step 4: Simplify right side
    1,353.17x = 1,426,298.89
  5. Step 5: Solve for x
    x = 1,426,298.89/1,353.17
  6. Step 6: Final answer
    x = 1,054.04

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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.