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Finding the Fourth Proportional to 719.33, 1,077.35 and 430.16

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Solution

The fourth proportional to 719.33, 1,077.35 and 430.16 is: 644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.33 : 1,077.35 = 430.16 : x
  2. Step 2: Convert to fraction form
    719.33/1,077.35 = 430.16/x
  3. Step 3: Cross multiply
    719.33x = 1,077.35 × 430.16
  4. Step 4: Simplify right side
    719.33x = 463,425.34
  5. Step 5: Solve for x
    x = 463,425.34/719.33
  6. Step 6: Final answer
    x = 644.25

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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.