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Finding the Fourth Proportional to 1,059.22, 1,461.38 and 686.49

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Solution

The fourth proportional to 1,059.22, 1,461.38 and 686.49 is: 947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.22 : 1,461.38 = 686.49 : x
  2. Step 2: Convert to fraction form
    1,059.22/1,461.38 = 686.49/x
  3. Step 3: Cross multiply
    1,059.22x = 1,461.38 × 686.49
  4. Step 4: Simplify right side
    1,059.22x = 1,003,222.76
  5. Step 5: Solve for x
    x = 1,003,222.76/1,059.22
  6. Step 6: Final answer
    x = 947.13

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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.