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Finding the Fourth Proportional to 738.76, 1,106.17 and 585

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Solution

The fourth proportional to 738.76, 1,106.17 and 585 is: 875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.76 : 1,106.17 = 585 : x
  2. Step 2: Convert to fraction form
    738.76/1,106.17 = 585/x
  3. Step 3: Cross multiply
    738.76x = 1,106.17 × 585
  4. Step 4: Simplify right side
    738.76x = 647,109.45
  5. Step 5: Solve for x
    x = 647,109.45/738.76
  6. Step 6: Final answer
    x = 875.94

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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.