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Finding the Fourth Proportional to 876.47, 1,314.10 and 431.67

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Solution

The fourth proportional to 876.47, 1,314.10 and 431.67 is: 647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.47 : 1,314.10 = 431.67 : x
  2. Step 2: Convert to fraction form
    876.47/1,314.10 = 431.67/x
  3. Step 3: Cross multiply
    876.47x = 1,314.10 × 431.67
  4. Step 4: Simplify right side
    876.47x = 567,263.01
  5. Step 5: Solve for x
    x = 567,263.01/876.47
  6. Step 6: Final answer
    x = 647.22

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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.