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Finding the Fourth Proportional to 745, 1,117.53 and 334.17

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Solution

The fourth proportional to 745, 1,117.53 and 334.17 is: 501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    745 : 1,117.53 = 334.17 : x
  2. Step 2: Convert to fraction form
    745/1,117.53 = 334.17/x
  3. Step 3: Cross multiply
    745x = 1,117.53 × 334.17
  4. Step 4: Simplify right side
    745x = 373,445.00
  5. Step 5: Solve for x
    x = 373,445.00/745
  6. Step 6: Final answer
    x = 501.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.