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Finding the Fourth Proportional to 1,012.17, 1,507.80 and 981.57

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Solution

The fourth proportional to 1,012.17, 1,507.80 and 981.57 is: 1,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.17 : 1,507.80 = 981.57 : x
  2. Step 2: Convert to fraction form
    1,012.17/1,507.80 = 981.57/x
  3. Step 3: Cross multiply
    1,012.17x = 1,507.80 × 981.57
  4. Step 4: Simplify right side
    1,012.17x = 1,480,004.51
  5. Step 5: Solve for x
    x = 1,480,004.51/1,012.17
  6. Step 6: Final answer
    x = 1,462.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.