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Finding the Fourth Proportional to 1,421.74, 2,132.59 and 497.30

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Solution

The fourth proportional to 1,421.74, 2,132.59 and 497.30 is: 745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.74 : 2,132.59 = 497.30 : x
  2. Step 2: Convert to fraction form
    1,421.74/2,132.59 = 497.30/x
  3. Step 3: Cross multiply
    1,421.74x = 2,132.59 × 497.30
  4. Step 4: Simplify right side
    1,421.74x = 1,060,537.01
  5. Step 5: Solve for x
    x = 1,060,537.01/1,421.74
  6. Step 6: Final answer
    x = 745.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.