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Finding the Fourth Proportional to 1,315.03, 1,972.15 and 437.35

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Solution

The fourth proportional to 1,315.03, 1,972.15 and 437.35 is: 655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.03 : 1,972.15 = 437.35 : x
  2. Step 2: Convert to fraction form
    1,315.03/1,972.15 = 437.35/x
  3. Step 3: Cross multiply
    1,315.03x = 1,972.15 × 437.35
  4. Step 4: Simplify right side
    1,315.03x = 862,519.80
  5. Step 5: Solve for x
    x = 862,519.80/1,315.03
  6. Step 6: Final answer
    x = 655.89

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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.