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Finding the Fourth Proportional to 1,421.87, 2,133.14 and 497.18

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Solution

The fourth proportional to 1,421.87, 2,133.14 and 497.18 is: 745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.87 : 2,133.14 = 497.18 : x
  2. Step 2: Convert to fraction form
    1,421.87/2,133.14 = 497.18/x
  3. Step 3: Cross multiply
    1,421.87x = 2,133.14 × 497.18
  4. Step 4: Simplify right side
    1,421.87x = 1,060,554.55
  5. Step 5: Solve for x
    x = 1,060,554.55/1,421.87
  6. Step 6: Final answer
    x = 745.89

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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.