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Finding the Fourth Proportional to 1,570.16, 2,353.71 and 582.69

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Solution

The fourth proportional to 1,570.16, 2,353.71 and 582.69 is: 873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.16 : 2,353.71 = 582.69 : x
  2. Step 2: Convert to fraction form
    1,570.16/2,353.71 = 582.69/x
  3. Step 3: Cross multiply
    1,570.16x = 2,353.71 × 582.69
  4. Step 4: Simplify right side
    1,570.16x = 1,371,483.28
  5. Step 5: Solve for x
    x = 1,371,483.28/1,570.16
  6. Step 6: Final answer
    x = 873.47

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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.