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Finding the Fourth Proportional to 1,154.12, 1,730.58 and 604.94

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Solution

The fourth proportional to 1,154.12, 1,730.58 and 604.94 is: 907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.12 : 1,730.58 = 604.94 : x
  2. Step 2: Convert to fraction form
    1,154.12/1,730.58 = 604.94/x
  3. Step 3: Cross multiply
    1,154.12x = 1,730.58 × 604.94
  4. Step 4: Simplify right side
    1,154.12x = 1,046,897.07
  5. Step 5: Solve for x
    x = 1,046,897.07/1,154.12
  6. Step 6: Final answer
    x = 907.10

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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.