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Finding the Fourth Proportional to 1,035.95, 1,430.48 and 688.19

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Solution

The fourth proportional to 1,035.95, 1,430.48 and 688.19 is: 950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.95 : 1,430.48 = 688.19 : x
  2. Step 2: Convert to fraction form
    1,035.95/1,430.48 = 688.19/x
  3. Step 3: Cross multiply
    1,035.95x = 1,430.48 × 688.19
  4. Step 4: Simplify right side
    1,035.95x = 984,438.59
  5. Step 5: Solve for x
    x = 984,438.59/1,035.95
  6. Step 6: Final answer
    x = 950.28

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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.