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Finding the Fourth Proportional to 704.08, 970.48 and 597.16

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Solution

The fourth proportional to 704.08, 970.48 and 597.16 is: 823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.08 : 970.48 = 597.16 : x
  2. Step 2: Convert to fraction form
    704.08/970.48 = 597.16/x
  3. Step 3: Cross multiply
    704.08x = 970.48 × 597.16
  4. Step 4: Simplify right side
    704.08x = 579,531.84
  5. Step 5: Solve for x
    x = 579,531.84/704.08
  6. Step 6: Final answer
    x = 823.11

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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.