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Finding the Fourth Proportional to 1,041.29, 1,564.37 and 895.49

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Solution

The fourth proportional to 1,041.29, 1,564.37 and 895.49 is: 1,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.29 : 1,564.37 = 895.49 : x
  2. Step 2: Convert to fraction form
    1,041.29/1,564.37 = 895.49/x
  3. Step 3: Cross multiply
    1,041.29x = 1,564.37 × 895.49
  4. Step 4: Simplify right side
    1,041.29x = 1,400,877.69
  5. Step 5: Solve for x
    x = 1,400,877.69/1,041.29
  6. Step 6: Final answer
    x = 1,345.33

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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.