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Finding the Fourth Proportional to 702.48, 1,054.20 and 446.16

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Solution

The fourth proportional to 702.48, 1,054.20 and 446.16 is: 669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.48 : 1,054.20 = 446.16 : x
  2. Step 2: Convert to fraction form
    702.48/1,054.20 = 446.16/x
  3. Step 3: Cross multiply
    702.48x = 1,054.20 × 446.16
  4. Step 4: Simplify right side
    702.48x = 470,341.87
  5. Step 5: Solve for x
    x = 470,341.87/702.48
  6. Step 6: Final answer
    x = 669.54

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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.