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Finding the Fourth Proportional to 1,061.76, 1,579.68 and 1,000.32

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Solution

The fourth proportional to 1,061.76, 1,579.68 and 1,000.32 is: 1,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.76 : 1,579.68 = 1,000.32 : x
  2. Step 2: Convert to fraction form
    1,061.76/1,579.68 = 1,000.32/x
  3. Step 3: Cross multiply
    1,061.76x = 1,579.68 × 1,000.32
  4. Step 4: Simplify right side
    1,061.76x = 1,580,185.50
  5. Step 5: Solve for x
    x = 1,580,185.50/1,061.76
  6. Step 6: Final answer
    x = 1,488.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.