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Finding the Fourth Proportional to 1,113.04, 1,668.52 and 382.12

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Solution

The fourth proportional to 1,113.04, 1,668.52 and 382.12 is: 572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.04 : 1,668.52 = 382.12 : x
  2. Step 2: Convert to fraction form
    1,113.04/1,668.52 = 382.12/x
  3. Step 3: Cross multiply
    1,113.04x = 1,668.52 × 382.12
  4. Step 4: Simplify right side
    1,113.04x = 637,574.86
  5. Step 5: Solve for x
    x = 637,574.86/1,113.04
  6. Step 6: Final answer
    x = 572.82

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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.