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Finding the Fourth Proportional to 570.84, 786.67 and 560.31

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Solution

The fourth proportional to 570.84, 786.67 and 560.31 is: 772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 786.67 = 560.31 : x
  2. Step 2: Convert to fraction form
    570.84/786.67 = 560.31/x
  3. Step 3: Cross multiply
    570.84x = 786.67 × 560.31
  4. Step 4: Simplify right side
    570.84x = 440,779.07
  5. Step 5: Solve for x
    x = 440,779.07/570.84
  6. Step 6: Final answer
    x = 772.16

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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.