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Finding the Fourth Proportional to 1,349.58, 1,862.76 and 852.24

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Solution

The fourth proportional to 1,349.58, 1,862.76 and 852.24 is: 1,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.58 : 1,862.76 = 852.24 : x
  2. Step 2: Convert to fraction form
    1,349.58/1,862.76 = 852.24/x
  3. Step 3: Cross multiply
    1,349.58x = 1,862.76 × 852.24
  4. Step 4: Simplify right side
    1,349.58x = 1,587,518.58
  5. Step 5: Solve for x
    x = 1,587,518.58/1,349.58
  6. Step 6: Final answer
    x = 1,176.31

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1.5x scale

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.