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Finding the Fourth Proportional to 929.35, 1,282.50 and 509.70

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Solution

The fourth proportional to 929.35, 1,282.50 and 509.70 is: 703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.35 : 1,282.50 = 509.70 : x
  2. Step 2: Convert to fraction form
    929.35/1,282.50 = 509.70/x
  3. Step 3: Cross multiply
    929.35x = 1,282.50 × 509.70
  4. Step 4: Simplify right side
    929.35x = 653,687.35
  5. Step 5: Solve for x
    x = 653,687.35/929.35
  6. Step 6: Final answer
    x = 703.38

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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.