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Finding the Fourth Proportional to 1,044.69, 1,565.68 and 782.63

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Solution

The fourth proportional to 1,044.69, 1,565.68 and 782.63 is: 1,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.69 : 1,565.68 = 782.63 : x
  2. Step 2: Convert to fraction form
    1,044.69/1,565.68 = 782.63/x
  3. Step 3: Cross multiply
    1,044.69x = 1,565.68 × 782.63
  4. Step 4: Simplify right side
    1,044.69x = 1,225,348.14
  5. Step 5: Solve for x
    x = 1,225,348.14/1,044.69
  6. Step 6: Final answer
    x = 1,172.93

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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.