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Finding the Fourth Proportional to 971.65, 1,340.89 and 529.57

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Solution

The fourth proportional to 971.65, 1,340.89 and 529.57 is: 730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.65 : 1,340.89 = 529.57 : x
  2. Step 2: Convert to fraction form
    971.65/1,340.89 = 529.57/x
  3. Step 3: Cross multiply
    971.65x = 1,340.89 × 529.57
  4. Step 4: Simplify right side
    971.65x = 710,095.47
  5. Step 5: Solve for x
    x = 710,095.47/971.65
  6. Step 6: Final answer
    x = 730.82

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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.