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Finding the Fourth Proportional to 1,004.35, 1,506.75 and 456.61

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Solution

The fourth proportional to 1,004.35, 1,506.75 and 456.61 is: 685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.35 : 1,506.75 = 456.61 : x
  2. Step 2: Convert to fraction form
    1,004.35/1,506.75 = 456.61/x
  3. Step 3: Cross multiply
    1,004.35x = 1,506.75 × 456.61
  4. Step 4: Simplify right side
    1,004.35x = 688,001.27
  5. Step 5: Solve for x
    x = 688,001.27/1,004.35
  6. Step 6: Final answer
    x = 685.02

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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.