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Finding the Fourth Proportional to 1,547.37, 2,319.44 and 776.25

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Solution

The fourth proportional to 1,547.37, 2,319.44 and 776.25 is: 1,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.37 : 2,319.44 = 776.25 : x
  2. Step 2: Convert to fraction form
    1,547.37/2,319.44 = 776.25/x
  3. Step 3: Cross multiply
    1,547.37x = 2,319.44 × 776.25
  4. Step 4: Simplify right side
    1,547.37x = 1,800,461.42
  5. Step 5: Solve for x
    x = 1,800,461.42/1,547.37
  6. Step 6: Final answer
    x = 1,163.56

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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.