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Finding the Fourth Proportional to 1,193.05, 1,646.14 and 688.91

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Solution

The fourth proportional to 1,193.05, 1,646.14 and 688.91 is: 950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.05 : 1,646.14 = 688.91 : x
  2. Step 2: Convert to fraction form
    1,193.05/1,646.14 = 688.91/x
  3. Step 3: Cross multiply
    1,193.05x = 1,646.14 × 688.91
  4. Step 4: Simplify right side
    1,193.05x = 1,134,030.74
  5. Step 5: Solve for x
    x = 1,134,030.74/1,193.05
  6. Step 6: Final answer
    x = 950.53

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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.