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Finding the Fourth Proportional to 970.39, 1,337.88 and 705.21

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Solution

The fourth proportional to 970.39, 1,337.88 and 705.21 is: 972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.39 : 1,337.88 = 705.21 : x
  2. Step 2: Convert to fraction form
    970.39/1,337.88 = 705.21/x
  3. Step 3: Cross multiply
    970.39x = 1,337.88 × 705.21
  4. Step 4: Simplify right side
    970.39x = 943,491.51
  5. Step 5: Solve for x
    x = 943,491.51/970.39
  6. Step 6: Final answer
    x = 972.29

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Half scale
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Double scale
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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.