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Finding the Fourth Proportional to 707.16, 1,052.82 and 703.74

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Solution

The fourth proportional to 707.16, 1,052.82 and 703.74 is: 1,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.16 : 1,052.82 = 703.74 : x
  2. Step 2: Convert to fraction form
    707.16/1,052.82 = 703.74/x
  3. Step 3: Cross multiply
    707.16x = 1,052.82 × 703.74
  4. Step 4: Simplify right side
    707.16x = 740,911.55
  5. Step 5: Solve for x
    x = 740,911.55/707.16
  6. Step 6: Final answer
    x = 1,047.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.