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Finding the Fourth Proportional to 1,061.64, 1,594.01 and 649.55

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Solution

The fourth proportional to 1,061.64, 1,594.01 and 649.55 is: 975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.64 : 1,594.01 = 649.55 : x
  2. Step 2: Convert to fraction form
    1,061.64/1,594.01 = 649.55/x
  3. Step 3: Cross multiply
    1,061.64x = 1,594.01 × 649.55
  4. Step 4: Simplify right side
    1,061.64x = 1,035,394.80
  5. Step 5: Solve for x
    x = 1,035,394.80/1,061.64
  6. Step 6: Final answer
    x = 975.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.