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Finding the Fourth Proportional to 1,573.34, 2,359.23 and 649.35

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Solution

The fourth proportional to 1,573.34, 2,359.23 and 649.35 is: 973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.34 : 2,359.23 = 649.35 : x
  2. Step 2: Convert to fraction form
    1,573.34/2,359.23 = 649.35/x
  3. Step 3: Cross multiply
    1,573.34x = 2,359.23 × 649.35
  4. Step 4: Simplify right side
    1,573.34x = 1,531,966.00
  5. Step 5: Solve for x
    x = 1,531,966.00/1,573.34
  6. Step 6: Final answer
    x = 973.71

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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.