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Finding the Fourth Proportional to 1,062.61, 1,594.08 and 446.34

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Solution

The fourth proportional to 1,062.61, 1,594.08 and 446.34 is: 669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.61 : 1,594.08 = 446.34 : x
  2. Step 2: Convert to fraction form
    1,062.61/1,594.08 = 446.34/x
  3. Step 3: Cross multiply
    1,062.61x = 1,594.08 × 446.34
  4. Step 4: Simplify right side
    1,062.61x = 711,501.67
  5. Step 5: Solve for x
    x = 711,501.67/1,062.61
  6. Step 6: Final answer
    x = 669.58

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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.