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Finding the Fourth Proportional to 718.62, 1,077.93 and 353.34

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Solution

The fourth proportional to 718.62, 1,077.93 and 353.34 is: 530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.62 : 1,077.93 = 353.34 : x
  2. Step 2: Convert to fraction form
    718.62/1,077.93 = 353.34/x
  3. Step 3: Cross multiply
    718.62x = 1,077.93 × 353.34
  4. Step 4: Simplify right side
    718.62x = 380,875.79
  5. Step 5: Solve for x
    x = 380,875.79/718.62
  6. Step 6: Final answer
    x = 530.01

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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.