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Finding the Fourth Proportional to 704.46, 973.15 and 509

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Solution

The fourth proportional to 704.46, 973.15 and 509 is: 703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.46 : 973.15 = 509 : x
  2. Step 2: Convert to fraction form
    704.46/973.15 = 509/x
  3. Step 3: Cross multiply
    704.46x = 973.15 × 509
  4. Step 4: Simplify right side
    704.46x = 495,333.35
  5. Step 5: Solve for x
    x = 495,333.35/704.46
  6. Step 6: Final answer
    x = 703.14

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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.