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Finding the Fourth Proportional to 1,047.88, 1,572.23 and 776.26

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Solution

The fourth proportional to 1,047.88, 1,572.23 and 776.26 is: 1,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.88 : 1,572.23 = 776.26 : x
  2. Step 2: Convert to fraction form
    1,047.88/1,572.23 = 776.26/x
  3. Step 3: Cross multiply
    1,047.88x = 1,572.23 × 776.26
  4. Step 4: Simplify right side
    1,047.88x = 1,220,459.26
  5. Step 5: Solve for x
    x = 1,220,459.26/1,047.88
  6. Step 6: Final answer
    x = 1,164.69

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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.