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Finding the Fourth Proportional to 1,323.52, 1,985.07 and 457.63

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Solution

The fourth proportional to 1,323.52, 1,985.07 and 457.63 is: 686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.52 : 1,985.07 = 457.63 : x
  2. Step 2: Convert to fraction form
    1,323.52/1,985.07 = 457.63/x
  3. Step 3: Cross multiply
    1,323.52x = 1,985.07 × 457.63
  4. Step 4: Simplify right side
    1,323.52x = 908,427.58
  5. Step 5: Solve for x
    x = 908,427.58/1,323.52
  6. Step 6: Final answer
    x = 686.37

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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.