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Finding the Fourth Proportional to 1,210.64, 1,670.32 and 712.76

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Solution

The fourth proportional to 1,210.64, 1,670.32 and 712.76 is: 983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.64 : 1,670.32 = 712.76 : x
  2. Step 2: Convert to fraction form
    1,210.64/1,670.32 = 712.76/x
  3. Step 3: Cross multiply
    1,210.64x = 1,670.32 × 712.76
  4. Step 4: Simplify right side
    1,210.64x = 1,190,537.28
  5. Step 5: Solve for x
    x = 1,190,537.28/1,210.64
  6. Step 6: Final answer
    x = 983.39

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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.