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Finding the Fourth Proportional to 706.37, 973.72 and 509.81

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Solution

The fourth proportional to 706.37, 973.72 and 509.81 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.37 : 973.72 = 509.81 : x
  2. Step 2: Convert to fraction form
    706.37/973.72 = 509.81/x
  3. Step 3: Cross multiply
    706.37x = 973.72 × 509.81
  4. Step 4: Simplify right side
    706.37x = 496,412.19
  5. Step 5: Solve for x
    x = 496,412.19/706.37
  6. Step 6: Final answer
    x = 702.77

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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.