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Finding the Fourth Proportional to 1,130.61, 1,560.83 and 780.69

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Solution

The fourth proportional to 1,130.61, 1,560.83 and 780.69 is: 1,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.61 : 1,560.83 = 780.69 : x
  2. Step 2: Convert to fraction form
    1,130.61/1,560.83 = 780.69/x
  3. Step 3: Cross multiply
    1,130.61x = 1,560.83 × 780.69
  4. Step 4: Simplify right side
    1,130.61x = 1,218,524.37
  5. Step 5: Solve for x
    x = 1,218,524.37/1,130.61
  6. Step 6: Final answer
    x = 1,077.76

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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.