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Finding the Fourth Proportional to 743.02, 1,024.70 and 507.34

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Solution

The fourth proportional to 743.02, 1,024.70 and 507.34 is: 699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.02 : 1,024.70 = 507.34 : x
  2. Step 2: Convert to fraction form
    743.02/1,024.70 = 507.34/x
  3. Step 3: Cross multiply
    743.02x = 1,024.70 × 507.34
  4. Step 4: Simplify right side
    743.02x = 519,871.30
  5. Step 5: Solve for x
    x = 519,871.30/743.02
  6. Step 6: Final answer
    x = 699.67

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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.