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Finding the Fourth Proportional to 693.47, 957.04 and 431.52

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Solution

The fourth proportional to 693.47, 957.04 and 431.52 is: 595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.47 : 957.04 = 431.52 : x
  2. Step 2: Convert to fraction form
    693.47/957.04 = 431.52/x
  3. Step 3: Cross multiply
    693.47x = 957.04 × 431.52
  4. Step 4: Simplify right side
    693.47x = 412,980.82
  5. Step 5: Solve for x
    x = 412,980.82/693.47
  6. Step 6: Final answer
    x = 595.53

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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.