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Finding the Fourth Proportional to 1,019.64, 1,529.52 and 464.68

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Solution

The fourth proportional to 1,019.64, 1,529.52 and 464.68 is: 697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.64 : 1,529.52 = 464.68 : x
  2. Step 2: Convert to fraction form
    1,019.64/1,529.52 = 464.68/x
  3. Step 3: Cross multiply
    1,019.64x = 1,529.52 × 464.68
  4. Step 4: Simplify right side
    1,019.64x = 710,737.35
  5. Step 5: Solve for x
    x = 710,737.35/1,019.64
  6. Step 6: Final answer
    x = 697.05

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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.