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Finding the Fourth Proportional to 1,186, 1,779.72 and 502

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Solution

The fourth proportional to 1,186, 1,779.72 and 502 is: 753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186 : 1,779.72 = 502 : x
  2. Step 2: Convert to fraction form
    1,186/1,779.72 = 502/x
  3. Step 3: Cross multiply
    1,186x = 1,779.72 × 502
  4. Step 4: Simplify right side
    1,186x = 893,419.44
  5. Step 5: Solve for x
    x = 893,419.44/1,186
  6. Step 6: Final answer
    x = 753.30

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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.