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Finding the Fourth Proportional to 1,587.08, 2,379.95 and 491.19

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Solution

The fourth proportional to 1,587.08, 2,379.95 and 491.19 is: 736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.08 : 2,379.95 = 491.19 : x
  2. Step 2: Convert to fraction form
    1,587.08/2,379.95 = 491.19/x
  3. Step 3: Cross multiply
    1,587.08x = 2,379.95 × 491.19
  4. Step 4: Simplify right side
    1,587.08x = 1,169,005.18
  5. Step 5: Solve for x
    x = 1,169,005.18/1,587.08
  6. Step 6: Final answer
    x = 736.57

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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.