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Finding the Fourth Proportional to 709,146.32, 982,761.98 and 695,688.98

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Solution

The fourth proportional to 709,146.32, 982,761.98 and 695,688.98 is: 964,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,146.32 : 982,761.98 = 695,688.98 : x
  2. Step 2: Convert to fraction form
    709,146.32/982,761.98 = 695,688.98/x
  3. Step 3: Cross multiply
    709,146.32x = 982,761.98 × 695,688.98
  4. Step 4: Simplify right side
    709,146.32x = 683,696,671,056.73
  5. Step 5: Solve for x
    x = 683,696,671,056.73/709,146.32
  6. Step 6: Final answer
    x = 964,112.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.