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Finding the Fourth Proportional to 1,077.13, 1,488.81 and 784.45

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Solution

The fourth proportional to 1,077.13, 1,488.81 and 784.45 is: 1,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.13 : 1,488.81 = 784.45 : x
  2. Step 2: Convert to fraction form
    1,077.13/1,488.81 = 784.45/x
  3. Step 3: Cross multiply
    1,077.13x = 1,488.81 × 784.45
  4. Step 4: Simplify right side
    1,077.13x = 1,167,897.00
  5. Step 5: Solve for x
    x = 1,167,897.00/1,077.13
  6. Step 6: Final answer
    x = 1,084.27

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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.