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Finding the Fourth Proportional to 1,359.73, 1,875.16 and 1,064.48

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Solution

The fourth proportional to 1,359.73, 1,875.16 and 1,064.48 is: 1,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.73 : 1,875.16 = 1,064.48 : x
  2. Step 2: Convert to fraction form
    1,359.73/1,875.16 = 1,064.48/x
  3. Step 3: Cross multiply
    1,359.73x = 1,875.16 × 1,064.48
  4. Step 4: Simplify right side
    1,359.73x = 1,996,070.32
  5. Step 5: Solve for x
    x = 1,996,070.32/1,359.73
  6. Step 6: Final answer
    x = 1,467.99

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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.