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Finding the Fourth Proportional to 706, 973.54 and 528.16

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Solution

The fourth proportional to 706, 973.54 and 528.16 is: 728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 973.54 = 528.16 : x
  2. Step 2: Convert to fraction form
    706/973.54 = 528.16/x
  3. Step 3: Cross multiply
    706x = 973.54 × 528.16
  4. Step 4: Simplify right side
    706x = 514,184.89
  5. Step 5: Solve for x
    x = 514,184.89/706
  6. Step 6: Final answer
    x = 728.31

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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.