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Finding the Fourth Proportional to 1,572.78, 2,357.14 and 647.29

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Solution

The fourth proportional to 1,572.78, 2,357.14 and 647.29 is: 970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.78 : 2,357.14 = 647.29 : x
  2. Step 2: Convert to fraction form
    1,572.78/2,357.14 = 647.29/x
  3. Step 3: Cross multiply
    1,572.78x = 2,357.14 × 647.29
  4. Step 4: Simplify right side
    1,572.78x = 1,525,749.91
  5. Step 5: Solve for x
    x = 1,525,749.91/1,572.78
  6. Step 6: Final answer
    x = 970.10

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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.