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Finding the Fourth Proportional to 932.10, 1,285.62 and 710.52

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Solution

The fourth proportional to 932.10, 1,285.62 and 710.52 is: 980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.10 : 1,285.62 = 710.52 : x
  2. Step 2: Convert to fraction form
    932.10/1,285.62 = 710.52/x
  3. Step 3: Cross multiply
    932.10x = 1,285.62 × 710.52
  4. Step 4: Simplify right side
    932.10x = 913,458.72
  5. Step 5: Solve for x
    x = 913,458.72/932.10
  6. Step 6: Final answer
    x = 980.00

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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.