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Finding the Fourth Proportional to 1,035.09, 1,428.47 and 642.24

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Solution

The fourth proportional to 1,035.09, 1,428.47 and 642.24 is: 886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.09 : 1,428.47 = 642.24 : x
  2. Step 2: Convert to fraction form
    1,035.09/1,428.47 = 642.24/x
  3. Step 3: Cross multiply
    1,035.09x = 1,428.47 × 642.24
  4. Step 4: Simplify right side
    1,035.09x = 917,411.82
  5. Step 5: Solve for x
    x = 917,411.82/1,035.09
  6. Step 6: Final answer
    x = 886.32

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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.