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Finding the Fourth Proportional to 1,319.18, 1,978.22 and 497.00

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Solution

The fourth proportional to 1,319.18, 1,978.22 and 497.00 is: 745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.18 : 1,978.22 = 497.00 : x
  2. Step 2: Convert to fraction form
    1,319.18/1,978.22 = 497.00/x
  3. Step 3: Cross multiply
    1,319.18x = 1,978.22 × 497.00
  4. Step 4: Simplify right side
    1,319.18x = 983,181.53
  5. Step 5: Solve for x
    x = 983,181.53/1,319.18
  6. Step 6: Final answer
    x = 745.30

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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.