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Finding the Fourth Proportional to 750.46, 1,125.71 and 317.54

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Solution

The fourth proportional to 750.46, 1,125.71 and 317.54 is: 476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.46 : 1,125.71 = 317.54 : x
  2. Step 2: Convert to fraction form
    750.46/1,125.71 = 317.54/x
  3. Step 3: Cross multiply
    750.46x = 1,125.71 × 317.54
  4. Step 4: Simplify right side
    750.46x = 357,457.95
  5. Step 5: Solve for x
    x = 357,457.95/750.46
  6. Step 6: Final answer
    x = 476.32

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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.