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Finding the Fourth Proportional to 1,154.34, 1,730.58 and 569.52

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Solution

The fourth proportional to 1,154.34, 1,730.58 and 569.52 is: 853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.34 : 1,730.58 = 569.52 : x
  2. Step 2: Convert to fraction form
    1,154.34/1,730.58 = 569.52/x
  3. Step 3: Cross multiply
    1,154.34x = 1,730.58 × 569.52
  4. Step 4: Simplify right side
    1,154.34x = 985,599.92
  5. Step 5: Solve for x
    x = 985,599.92/1,154.34
  6. Step 6: Final answer
    x = 853.82

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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.