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Finding the Fourth Proportional to 1,530.29, 2,295.57 and 434.67

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Solution

The fourth proportional to 1,530.29, 2,295.57 and 434.67 is: 652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.29 : 2,295.57 = 434.67 : x
  2. Step 2: Convert to fraction form
    1,530.29/2,295.57 = 434.67/x
  3. Step 3: Cross multiply
    1,530.29x = 2,295.57 × 434.67
  4. Step 4: Simplify right side
    1,530.29x = 997,815.41
  5. Step 5: Solve for x
    x = 997,815.41/1,530.29
  6. Step 6: Final answer
    x = 652.05

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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.