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Finding the Fourth Proportional to 738.76, 1,106.54 and 348.18

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Solution

The fourth proportional to 738.76, 1,106.54 and 348.18 is: 521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.76 : 1,106.54 = 348.18 : x
  2. Step 2: Convert to fraction form
    738.76/1,106.54 = 348.18/x
  3. Step 3: Cross multiply
    738.76x = 1,106.54 × 348.18
  4. Step 4: Simplify right side
    738.76x = 385,275.10
  5. Step 5: Solve for x
    x = 385,275.10/738.76
  6. Step 6: Final answer
    x = 521.52

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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.