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Finding the Fourth Proportional to 710.96, 1,068.64 and 456.08

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Solution

The fourth proportional to 710.96, 1,068.64 and 456.08 is: 685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.96 : 1,068.64 = 456.08 : x
  2. Step 2: Convert to fraction form
    710.96/1,068.64 = 456.08/x
  3. Step 3: Cross multiply
    710.96x = 1,068.64 × 456.08
  4. Step 4: Simplify right side
    710.96x = 487,385.33
  5. Step 5: Solve for x
    x = 487,385.33/710.96
  6. Step 6: Final answer
    x = 685.53

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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.