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Finding the Fourth Proportional to 1,570.47, 2,356.47 and 646.31

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Solution

The fourth proportional to 1,570.47, 2,356.47 and 646.31 is: 969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.47 : 2,356.47 = 646.31 : x
  2. Step 2: Convert to fraction form
    1,570.47/2,356.47 = 646.31/x
  3. Step 3: Cross multiply
    1,570.47x = 2,356.47 × 646.31
  4. Step 4: Simplify right side
    1,570.47x = 1,522,998.34
  5. Step 5: Solve for x
    x = 1,522,998.34/1,570.47
  6. Step 6: Final answer
    x = 969.77

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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.