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Finding the Fourth Proportional to 1,029.87, 1,421.45 and 656.76

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Solution

The fourth proportional to 1,029.87, 1,421.45 and 656.76 is: 906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.87 : 1,421.45 = 656.76 : x
  2. Step 2: Convert to fraction form
    1,029.87/1,421.45 = 656.76/x
  3. Step 3: Cross multiply
    1,029.87x = 1,421.45 × 656.76
  4. Step 4: Simplify right side
    1,029.87x = 933,551.50
  5. Step 5: Solve for x
    x = 933,551.50/1,029.87
  6. Step 6: Final answer
    x = 906.48

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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.