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Finding the Fourth Proportional to 1,000.47, 1,501.19 and 384.42

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Solution

The fourth proportional to 1,000.47, 1,501.19 and 384.42 is: 576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.47 : 1,501.19 = 384.42 : x
  2. Step 2: Convert to fraction form
    1,000.47/1,501.19 = 384.42/x
  3. Step 3: Cross multiply
    1,000.47x = 1,501.19 × 384.42
  4. Step 4: Simplify right side
    1,000.47x = 577,087.46
  5. Step 5: Solve for x
    x = 577,087.46/1,000.47
  6. Step 6: Final answer
    x = 576.82

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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.