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Finding the Fourth Proportional to 786.61, 1,177.48 and 703.99

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Solution

The fourth proportional to 786.61, 1,177.48 and 703.99 is: 1,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.61 : 1,177.48 = 703.99 : x
  2. Step 2: Convert to fraction form
    786.61/1,177.48 = 703.99/x
  3. Step 3: Cross multiply
    786.61x = 1,177.48 × 703.99
  4. Step 4: Simplify right side
    786.61x = 828,926.50
  5. Step 5: Solve for x
    x = 828,926.50/786.61
  6. Step 6: Final answer
    x = 1,053.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.