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Finding the Fourth Proportional to 1,041.92, 1,570.88 and 971.42

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Solution

The fourth proportional to 1,041.92, 1,570.88 and 971.42 is: 1,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.92 : 1,570.88 = 971.42 : x
  2. Step 2: Convert to fraction form
    1,041.92/1,570.88 = 971.42/x
  3. Step 3: Cross multiply
    1,041.92x = 1,570.88 × 971.42
  4. Step 4: Simplify right side
    1,041.92x = 1,525,984.25
  5. Step 5: Solve for x
    x = 1,525,984.25/1,041.92
  6. Step 6: Final answer
    x = 1,464.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.