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Finding the Fourth Proportional to 1,186.50, 1,779.75 and 456.58

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Solution

The fourth proportional to 1,186.50, 1,779.75 and 456.58 is: 684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.50 : 1,779.75 = 456.58 : x
  2. Step 2: Convert to fraction form
    1,186.50/1,779.75 = 456.58/x
  3. Step 3: Cross multiply
    1,186.50x = 1,779.75 × 456.58
  4. Step 4: Simplify right side
    1,186.50x = 812,598.26
  5. Step 5: Solve for x
    x = 812,598.26/1,186.50
  6. Step 6: Final answer
    x = 684.87

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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.