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Finding the Fourth Proportional to 1,258.42, 1,888.08 and 565.04

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Solution

The fourth proportional to 1,258.42, 1,888.08 and 565.04 is: 847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.42 : 1,888.08 = 565.04 : x
  2. Step 2: Convert to fraction form
    1,258.42/1,888.08 = 565.04/x
  3. Step 3: Cross multiply
    1,258.42x = 1,888.08 × 565.04
  4. Step 4: Simplify right side
    1,258.42x = 1,066,840.72
  5. Step 5: Solve for x
    x = 1,066,840.72/1,258.42
  6. Step 6: Final answer
    x = 847.76

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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.