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Finding the Fourth Proportional to 1,046.58, 1,569.68 and 397.16

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Solution

The fourth proportional to 1,046.58, 1,569.68 and 397.16 is: 595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.58 : 1,569.68 = 397.16 : x
  2. Step 2: Convert to fraction form
    1,046.58/1,569.68 = 397.16/x
  3. Step 3: Cross multiply
    1,046.58x = 1,569.68 × 397.16
  4. Step 4: Simplify right side
    1,046.58x = 623,414.11
  5. Step 5: Solve for x
    x = 623,414.11/1,046.58
  6. Step 6: Final answer
    x = 595.67

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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.