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Finding the Fourth Proportional to 648.35, 895.23 and 509.16

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Solution

The fourth proportional to 648.35, 895.23 and 509.16 is: 703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.35 : 895.23 = 509.16 : x
  2. Step 2: Convert to fraction form
    648.35/895.23 = 509.16/x
  3. Step 3: Cross multiply
    648.35x = 895.23 × 509.16
  4. Step 4: Simplify right side
    648.35x = 455,814.71
  5. Step 5: Solve for x
    x = 455,814.71/648.35
  6. Step 6: Final answer
    x = 703.03

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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.