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Finding the Fourth Proportional to 885.86, 1,222.93 and 686.24

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Solution

The fourth proportional to 885.86, 1,222.93 and 686.24 is: 947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.86 : 1,222.93 = 686.24 : x
  2. Step 2: Convert to fraction form
    885.86/1,222.93 = 686.24/x
  3. Step 3: Cross multiply
    885.86x = 1,222.93 × 686.24
  4. Step 4: Simplify right side
    885.86x = 839,223.48
  5. Step 5: Solve for x
    x = 839,223.48/885.86
  6. Step 6: Final answer
    x = 947.35

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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.