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Finding the Fourth Proportional to 1,566.03, 2,348.32 and 578.16

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Solution

The fourth proportional to 1,566.03, 2,348.32 and 578.16 is: 866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.03 : 2,348.32 = 578.16 : x
  2. Step 2: Convert to fraction form
    1,566.03/2,348.32 = 578.16/x
  3. Step 3: Cross multiply
    1,566.03x = 2,348.32 × 578.16
  4. Step 4: Simplify right side
    1,566.03x = 1,357,709.31
  5. Step 5: Solve for x
    x = 1,357,709.31/1,566.03
  6. Step 6: Final answer
    x = 866.97

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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.