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Finding the Fourth Proportional to 1,025.69, 1,537.01 and 477.77

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Solution

The fourth proportional to 1,025.69, 1,537.01 and 477.77 is: 715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.69 : 1,537.01 = 477.77 : x
  2. Step 2: Convert to fraction form
    1,025.69/1,537.01 = 477.77/x
  3. Step 3: Cross multiply
    1,025.69x = 1,537.01 × 477.77
  4. Step 4: Simplify right side
    1,025.69x = 734,340.51
  5. Step 5: Solve for x
    x = 734,340.51/1,025.69
  6. Step 6: Final answer
    x = 715.95

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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.