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Finding the Fourth Proportional to 1,005.18, 1,506.44 and 457

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Solution

The fourth proportional to 1,005.18, 1,506.44 and 457 is: 684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.18 : 1,506.44 = 457 : x
  2. Step 2: Convert to fraction form
    1,005.18/1,506.44 = 457/x
  3. Step 3: Cross multiply
    1,005.18x = 1,506.44 × 457
  4. Step 4: Simplify right side
    1,005.18x = 688,443.08
  5. Step 5: Solve for x
    x = 688,443.08/1,005.18
  6. Step 6: Final answer
    x = 684.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.