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Finding the Fourth Proportional to 652.38, 899.48 and 512.07

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Solution

The fourth proportional to 652.38, 899.48 and 512.07 is: 706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.38 : 899.48 = 512.07 : x
  2. Step 2: Convert to fraction form
    652.38/899.48 = 512.07/x
  3. Step 3: Cross multiply
    652.38x = 899.48 × 512.07
  4. Step 4: Simplify right side
    652.38x = 460,594.16
  5. Step 5: Solve for x
    x = 460,594.16/652.38
  6. Step 6: Final answer
    x = 706.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.