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Finding the Fourth Proportional to 1,155.60, 1,594.62 and 658.35

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Solution

The fourth proportional to 1,155.60, 1,594.62 and 658.35 is: 908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.60 : 1,594.62 = 658.35 : x
  2. Step 2: Convert to fraction form
    1,155.60/1,594.62 = 658.35/x
  3. Step 3: Cross multiply
    1,155.60x = 1,594.62 × 658.35
  4. Step 4: Simplify right side
    1,155.60x = 1,049,818.08
  5. Step 5: Solve for x
    x = 1,049,818.08/1,155.60
  6. Step 6: Final answer
    x = 908.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.