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Finding the Fourth Proportional to 764.64, 1,148.50 and 457.10

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Solution

The fourth proportional to 764.64, 1,148.50 and 457.10 is: 686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,148.50 = 457.10 : x
  2. Step 2: Convert to fraction form
    764.64/1,148.50 = 457.10/x
  3. Step 3: Cross multiply
    764.64x = 1,148.50 × 457.10
  4. Step 4: Simplify right side
    764.64x = 524,979.35
  5. Step 5: Solve for x
    x = 524,979.35/764.64
  6. Step 6: Final answer
    x = 686.57

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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.