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Finding the Fourth Proportional to 1,572.05, 2,357.68 and 647.87

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Solution

The fourth proportional to 1,572.05, 2,357.68 and 647.87 is: 971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.05 : 2,357.68 = 647.87 : x
  2. Step 2: Convert to fraction form
    1,572.05/2,357.68 = 647.87/x
  3. Step 3: Cross multiply
    1,572.05x = 2,357.68 × 647.87
  4. Step 4: Simplify right side
    1,572.05x = 1,527,470.14
  5. Step 5: Solve for x
    x = 1,527,470.14/1,572.05
  6. Step 6: Final answer
    x = 971.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.