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Finding the Fourth Proportional to 706.88, 974 and 509.76

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Solution

The fourth proportional to 706.88, 974 and 509.76 is: 702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.88 : 974 = 509.76 : x
  2. Step 2: Convert to fraction form
    706.88/974 = 509.76/x
  3. Step 3: Cross multiply
    706.88x = 974 × 509.76
  4. Step 4: Simplify right side
    706.88x = 496,506.24
  5. Step 5: Solve for x
    x = 496,506.24/706.88
  6. Step 6: Final answer
    x = 702.39

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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.