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Finding the Fourth Proportional to 1,574.64, 2,361.96 and 707.94

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Solution

The fourth proportional to 1,574.64, 2,361.96 and 707.94 is: 1,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.64 : 2,361.96 = 707.94 : x
  2. Step 2: Convert to fraction form
    1,574.64/2,361.96 = 707.94/x
  3. Step 3: Cross multiply
    1,574.64x = 2,361.96 × 707.94
  4. Step 4: Simplify right side
    1,574.64x = 1,672,125.96
  5. Step 5: Solve for x
    x = 1,672,125.96/1,574.64
  6. Step 6: Final answer
    x = 1,061.91

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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.