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Finding the Fourth Proportional to 753.10, 1,038.78 and 491.10

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Solution

The fourth proportional to 753.10, 1,038.78 and 491.10 is: 677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.10 : 1,038.78 = 491.10 : x
  2. Step 2: Convert to fraction form
    753.10/1,038.78 = 491.10/x
  3. Step 3: Cross multiply
    753.10x = 1,038.78 × 491.10
  4. Step 4: Simplify right side
    753.10x = 510,144.86
  5. Step 5: Solve for x
    x = 510,144.86/753.10
  6. Step 6: Final answer
    x = 677.39

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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.