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Finding the Fourth Proportional to 1,056.98, 1,586.14 and 570.36

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Solution

The fourth proportional to 1,056.98, 1,586.14 and 570.36 is: 855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.98 : 1,586.14 = 570.36 : x
  2. Step 2: Convert to fraction form
    1,056.98/1,586.14 = 570.36/x
  3. Step 3: Cross multiply
    1,056.98x = 1,586.14 × 570.36
  4. Step 4: Simplify right side
    1,056.98x = 904,670.81
  5. Step 5: Solve for x
    x = 904,670.81/1,056.98
  6. Step 6: Final answer
    x = 855.90

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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.