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Finding the Fourth Proportional to 1,012.59, 1,397.36 and 570.50

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Solution

The fourth proportional to 1,012.59, 1,397.36 and 570.50 is: 787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.59 : 1,397.36 = 570.50 : x
  2. Step 2: Convert to fraction form
    1,012.59/1,397.36 = 570.50/x
  3. Step 3: Cross multiply
    1,012.59x = 1,397.36 × 570.50
  4. Step 4: Simplify right side
    1,012.59x = 797,184.04
  5. Step 5: Solve for x
    x = 797,184.04/1,012.59
  6. Step 6: Final answer
    x = 787.27

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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.