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Finding the Fourth Proportional to 1,501.77, 2,252.69 and 577.38

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Solution

The fourth proportional to 1,501.77, 2,252.69 and 577.38 is: 866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.77 : 2,252.69 = 577.38 : x
  2. Step 2: Convert to fraction form
    1,501.77/2,252.69 = 577.38/x
  3. Step 3: Cross multiply
    1,501.77x = 2,252.69 × 577.38
  4. Step 4: Simplify right side
    1,501.77x = 1,300,655.27
  5. Step 5: Solve for x
    x = 1,300,655.27/1,501.77
  6. Step 6: Final answer
    x = 866.08

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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.