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Finding the Fourth Proportional to 1,301.69, 1,953.08 and 782.75

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Solution

The fourth proportional to 1,301.69, 1,953.08 and 782.75 is: 1,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.69 : 1,953.08 = 782.75 : x
  2. Step 2: Convert to fraction form
    1,301.69/1,953.08 = 782.75/x
  3. Step 3: Cross multiply
    1,301.69x = 1,953.08 × 782.75
  4. Step 4: Simplify right side
    1,301.69x = 1,528,773.37
  5. Step 5: Solve for x
    x = 1,528,773.37/1,301.69
  6. Step 6: Final answer
    x = 1,174.45

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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.