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Finding the Fourth Proportional to 1,417.63, 2,127.26 and 552.01

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Solution

The fourth proportional to 1,417.63, 2,127.26 and 552.01 is: 828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.63 : 2,127.26 = 552.01 : x
  2. Step 2: Convert to fraction form
    1,417.63/2,127.26 = 552.01/x
  3. Step 3: Cross multiply
    1,417.63x = 2,127.26 × 552.01
  4. Step 4: Simplify right side
    1,417.63x = 1,174,268.79
  5. Step 5: Solve for x
    x = 1,174,268.79/1,417.63
  6. Step 6: Final answer
    x = 828.33

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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.