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Finding the Fourth Proportional to 1,005.02, 1,506.95 and 456.53

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Solution

The fourth proportional to 1,005.02, 1,506.95 and 456.53 is: 684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.02 : 1,506.95 = 456.53 : x
  2. Step 2: Convert to fraction form
    1,005.02/1,506.95 = 456.53/x
  3. Step 3: Cross multiply
    1,005.02x = 1,506.95 × 456.53
  4. Step 4: Simplify right side
    1,005.02x = 687,958.07
  5. Step 5: Solve for x
    x = 687,958.07/1,005.02
  6. Step 6: Final answer
    x = 684.53

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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.