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Finding the Fourth Proportional to 1,307.48, 1,804.87 and 836.00

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Solution

The fourth proportional to 1,307.48, 1,804.87 and 836.00 is: 1,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.48 : 1,804.87 = 836.00 : x
  2. Step 2: Convert to fraction form
    1,307.48/1,804.87 = 836.00/x
  3. Step 3: Cross multiply
    1,307.48x = 1,804.87 × 836.00
  4. Step 4: Simplify right side
    1,307.48x = 1,508,870.11
  5. Step 5: Solve for x
    x = 1,508,870.11/1,307.48
  6. Step 6: Final answer
    x = 1,154.03

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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.