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Finding the Fourth Proportional to 1,258.40, 1,886.24 and 565.44

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Solution

The fourth proportional to 1,258.40, 1,886.24 and 565.44 is: 847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.40 : 1,886.24 = 565.44 : x
  2. Step 2: Convert to fraction form
    1,258.40/1,886.24 = 565.44/x
  3. Step 3: Cross multiply
    1,258.40x = 1,886.24 × 565.44
  4. Step 4: Simplify right side
    1,258.40x = 1,066,555.55
  5. Step 5: Solve for x
    x = 1,066,555.55/1,258.40
  6. Step 6: Final answer
    x = 847.55

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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.