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Finding the Fourth Proportional to 758.64, 1,138.53 and 470.28

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Solution

The fourth proportional to 758.64, 1,138.53 and 470.28 is: 705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.64 : 1,138.53 = 470.28 : x
  2. Step 2: Convert to fraction form
    758.64/1,138.53 = 470.28/x
  3. Step 3: Cross multiply
    758.64x = 1,138.53 × 470.28
  4. Step 4: Simplify right side
    758.64x = 535,427.89
  5. Step 5: Solve for x
    x = 535,427.89/758.64
  6. Step 6: Final answer
    x = 705.77

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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.