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Finding the Fourth Proportional to 1,051.65, 1,578.15 and 402.35

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Solution

The fourth proportional to 1,051.65, 1,578.15 and 402.35 is: 603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.65 : 1,578.15 = 402.35 : x
  2. Step 2: Convert to fraction form
    1,051.65/1,578.15 = 402.35/x
  3. Step 3: Cross multiply
    1,051.65x = 1,578.15 × 402.35
  4. Step 4: Simplify right side
    1,051.65x = 634,960.76
  5. Step 5: Solve for x
    x = 634,960.76/1,051.65
  6. Step 6: Final answer
    x = 603.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.