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Finding the Fourth Proportional to 1,037.73, 1,430.89 and 706.35

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Solution

The fourth proportional to 1,037.73, 1,430.89 and 706.35 is: 973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.73 : 1,430.89 = 706.35 : x
  2. Step 2: Convert to fraction form
    1,037.73/1,430.89 = 706.35/x
  3. Step 3: Cross multiply
    1,037.73x = 1,430.89 × 706.35
  4. Step 4: Simplify right side
    1,037.73x = 1,010,709.15
  5. Step 5: Solve for x
    x = 1,010,709.15/1,037.73
  6. Step 6: Final answer
    x = 973.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.