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Finding the Fourth Proportional to 1,117.05, 1,541.60 and 619.84

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Solution

The fourth proportional to 1,117.05, 1,541.60 and 619.84 is: 855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.05 : 1,541.60 = 619.84 : x
  2. Step 2: Convert to fraction form
    1,117.05/1,541.60 = 619.84/x
  3. Step 3: Cross multiply
    1,117.05x = 1,541.60 × 619.84
  4. Step 4: Simplify right side
    1,117.05x = 955,545.34
  5. Step 5: Solve for x
    x = 955,545.34/1,117.05
  6. Step 6: Final answer
    x = 855.42

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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.