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Finding the Fourth Proportional to 784.07, 1,176.11 and 297.67

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Solution

The fourth proportional to 784.07, 1,176.11 and 297.67 is: 446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.07 : 1,176.11 = 297.67 : x
  2. Step 2: Convert to fraction form
    784.07/1,176.11 = 297.67/x
  3. Step 3: Cross multiply
    784.07x = 1,176.11 × 297.67
  4. Step 4: Simplify right side
    784.07x = 350,085.29
  5. Step 5: Solve for x
    x = 350,085.29/784.07
  6. Step 6: Final answer
    x = 446.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.