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Finding the Fourth Proportional to 1,142.94, 1,578.18 and 701.10

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Solution

The fourth proportional to 1,142.94, 1,578.18 and 701.10 is: 968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.94 : 1,578.18 = 701.10 : x
  2. Step 2: Convert to fraction form
    1,142.94/1,578.18 = 701.10/x
  3. Step 3: Cross multiply
    1,142.94x = 1,578.18 × 701.10
  4. Step 4: Simplify right side
    1,142.94x = 1,106,462.00
  5. Step 5: Solve for x
    x = 1,106,462.00/1,142.94
  6. Step 6: Final answer
    x = 968.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.