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Finding the Fourth Proportional to 1,051.57, 1,577.66 and 402.36

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Solution

The fourth proportional to 1,051.57, 1,577.66 and 402.36 is: 603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.57 : 1,577.66 = 402.36 : x
  2. Step 2: Convert to fraction form
    1,051.57/1,577.66 = 402.36/x
  3. Step 3: Cross multiply
    1,051.57x = 1,577.66 × 402.36
  4. Step 4: Simplify right side
    1,051.57x = 634,787.28
  5. Step 5: Solve for x
    x = 634,787.28/1,051.57
  6. Step 6: Final answer
    x = 603.66

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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.