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Finding the Fourth Proportional to 1,421.76, 1,962.40 and 925.76

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Solution

The fourth proportional to 1,421.76, 1,962.40 and 925.76 is: 1,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.76 : 1,962.40 = 925.76 : x
  2. Step 2: Convert to fraction form
    1,421.76/1,962.40 = 925.76/x
  3. Step 3: Cross multiply
    1,421.76x = 1,962.40 × 925.76
  4. Step 4: Simplify right side
    1,421.76x = 1,816,711.42
  5. Step 5: Solve for x
    x = 1,816,711.42/1,421.76
  6. Step 6: Final answer
    x = 1,277.79

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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.