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Finding the Fourth Proportional to 970.38, 1,337.38 and 707.94

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Solution

The fourth proportional to 970.38, 1,337.38 and 707.94 is: 975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.38 : 1,337.38 = 707.94 : x
  2. Step 2: Convert to fraction form
    970.38/1,337.38 = 707.94/x
  3. Step 3: Cross multiply
    970.38x = 1,337.38 × 707.94
  4. Step 4: Simplify right side
    970.38x = 946,783.03
  5. Step 5: Solve for x
    x = 946,783.03/970.38
  6. Step 6: Final answer
    x = 975.68

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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.