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Finding the Fourth Proportional to 1,570.59, 2,356.16 and 830.66

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Solution

The fourth proportional to 1,570.59, 2,356.16 and 830.66 is: 1,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.59 : 2,356.16 = 830.66 : x
  2. Step 2: Convert to fraction form
    1,570.59/2,356.16 = 830.66/x
  3. Step 3: Cross multiply
    1,570.59x = 2,356.16 × 830.66
  4. Step 4: Simplify right side
    1,570.59x = 1,957,151.93
  5. Step 5: Solve for x
    x = 1,957,151.93/1,570.59
  6. Step 6: Final answer
    x = 1,246.13

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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.