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Finding the Fourth Proportional to 1,000.86, 1,509.30 and 987.18

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Solution

The fourth proportional to 1,000.86, 1,509.30 and 987.18 is: 1,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.86 : 1,509.30 = 987.18 : x
  2. Step 2: Convert to fraction form
    1,000.86/1,509.30 = 987.18/x
  3. Step 3: Cross multiply
    1,000.86x = 1,509.30 × 987.18
  4. Step 4: Simplify right side
    1,000.86x = 1,489,950.77
  5. Step 5: Solve for x
    x = 1,489,950.77/1,000.86
  6. Step 6: Final answer
    x = 1,488.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.