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Finding the Fourth Proportional to 974.92, 1,345.35 and 581.66

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Solution

The fourth proportional to 974.92, 1,345.35 and 581.66 is: 802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.92 : 1,345.35 = 581.66 : x
  2. Step 2: Convert to fraction form
    974.92/1,345.35 = 581.66/x
  3. Step 3: Cross multiply
    974.92x = 1,345.35 × 581.66
  4. Step 4: Simplify right side
    974.92x = 782,539.64
  5. Step 5: Solve for x
    x = 782,539.64/974.92
  6. Step 6: Final answer
    x = 802.67

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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.