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Finding the Fourth Proportional to 1,345.48, 1,856.80 and 786.04

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Solution

The fourth proportional to 1,345.48, 1,856.80 and 786.04 is: 1,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.48 : 1,856.80 = 786.04 : x
  2. Step 2: Convert to fraction form
    1,345.48/1,856.80 = 786.04/x
  3. Step 3: Cross multiply
    1,345.48x = 1,856.80 × 786.04
  4. Step 4: Simplify right side
    1,345.48x = 1,459,519.07
  5. Step 5: Solve for x
    x = 1,459,519.07/1,345.48
  6. Step 6: Final answer
    x = 1,084.76

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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.