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Finding the Fourth Proportional to 1,530.04, 2,294.98 and 434.26

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Solution

The fourth proportional to 1,530.04, 2,294.98 and 434.26 is: 651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.04 : 2,294.98 = 434.26 : x
  2. Step 2: Convert to fraction form
    1,530.04/2,294.98 = 434.26/x
  3. Step 3: Cross multiply
    1,530.04x = 2,294.98 × 434.26
  4. Step 4: Simplify right side
    1,530.04x = 996,604.37
  5. Step 5: Solve for x
    x = 996,604.37/1,530.04
  6. Step 6: Final answer
    x = 651.36

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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.