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Finding the Fourth Proportional to 1,315.01, 1,972.36 and 437.46

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Solution

The fourth proportional to 1,315.01, 1,972.36 and 437.46 is: 656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.01 : 1,972.36 = 437.46 : x
  2. Step 2: Convert to fraction form
    1,315.01/1,972.36 = 437.46/x
  3. Step 3: Cross multiply
    1,315.01x = 1,972.36 × 437.46
  4. Step 4: Simplify right side
    1,315.01x = 862,828.61
  5. Step 5: Solve for x
    x = 862,828.61/1,315.01
  6. Step 6: Final answer
    x = 656.14

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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.