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Finding the Fourth Proportional to 1,030.87, 1,422.83 and 657.77

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Solution

The fourth proportional to 1,030.87, 1,422.83 and 657.77 is: 907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.87 : 1,422.83 = 657.77 : x
  2. Step 2: Convert to fraction form
    1,030.87/1,422.83 = 657.77/x
  3. Step 3: Cross multiply
    1,030.87x = 1,422.83 × 657.77
  4. Step 4: Simplify right side
    1,030.87x = 935,894.89
  5. Step 5: Solve for x
    x = 935,894.89/1,030.87
  6. Step 6: Final answer
    x = 907.87

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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.