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Finding the Fourth Proportional to 1,207.69, 1,666.13 and 703.46

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Solution

The fourth proportional to 1,207.69, 1,666.13 and 703.46 is: 970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.69 : 1,666.13 = 703.46 : x
  2. Step 2: Convert to fraction form
    1,207.69/1,666.13 = 703.46/x
  3. Step 3: Cross multiply
    1,207.69x = 1,666.13 × 703.46
  4. Step 4: Simplify right side
    1,207.69x = 1,172,056.46
  5. Step 5: Solve for x
    x = 1,172,056.46/1,207.69
  6. Step 6: Final answer
    x = 970.50

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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.