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Finding the Fourth Proportional to 1,570.93, 2,356.49 and 460.42

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Solution

The fourth proportional to 1,570.93, 2,356.49 and 460.42 is: 690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.93 : 2,356.49 = 460.42 : x
  2. Step 2: Convert to fraction form
    1,570.93/2,356.49 = 460.42/x
  3. Step 3: Cross multiply
    1,570.93x = 2,356.49 × 460.42
  4. Step 4: Simplify right side
    1,570.93x = 1,084,970.39
  5. Step 5: Solve for x
    x = 1,084,970.39/1,570.93
  6. Step 6: Final answer
    x = 690.66

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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.