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Finding the Fourth Proportional to 1,061.51, 1,464.63 and 619.16

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Solution

The fourth proportional to 1,061.51, 1,464.63 and 619.16 is: 854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.51 : 1,464.63 = 619.16 : x
  2. Step 2: Convert to fraction form
    1,061.51/1,464.63 = 619.16/x
  3. Step 3: Cross multiply
    1,061.51x = 1,464.63 × 619.16
  4. Step 4: Simplify right side
    1,061.51x = 906,840.31
  5. Step 5: Solve for x
    x = 906,840.31/1,061.51
  6. Step 6: Final answer
    x = 854.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.