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Finding the Fourth Proportional to 923.88, 1,275.57 and 710.82

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Solution

The fourth proportional to 923.88, 1,275.57 and 710.82 is: 981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.88 : 1,275.57 = 710.82 : x
  2. Step 2: Convert to fraction form
    923.88/1,275.57 = 710.82/x
  3. Step 3: Cross multiply
    923.88x = 1,275.57 × 710.82
  4. Step 4: Simplify right side
    923.88x = 906,700.67
  5. Step 5: Solve for x
    x = 906,700.67/923.88
  6. Step 6: Final answer
    x = 981.41

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1.5x scale

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.