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Finding the Fourth Proportional to 1,368.14, 2,053.02 and 588.08

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Solution

The fourth proportional to 1,368.14, 2,053.02 and 588.08 is: 882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.14 : 2,053.02 = 588.08 : x
  2. Step 2: Convert to fraction form
    1,368.14/2,053.02 = 588.08/x
  3. Step 3: Cross multiply
    1,368.14x = 2,053.02 × 588.08
  4. Step 4: Simplify right side
    1,368.14x = 1,207,340.00
  5. Step 5: Solve for x
    x = 1,207,340.00/1,368.14
  6. Step 6: Final answer
    x = 882.47

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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.