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Finding the Fourth Proportional to 880.71, 1,215.30 and 507.70

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Solution

The fourth proportional to 880.71, 1,215.30 and 507.70 is: 700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.71 : 1,215.30 = 507.70 : x
  2. Step 2: Convert to fraction form
    880.71/1,215.30 = 507.70/x
  3. Step 3: Cross multiply
    880.71x = 1,215.30 × 507.70
  4. Step 4: Simplify right side
    880.71x = 617,007.81
  5. Step 5: Solve for x
    x = 617,007.81/880.71
  6. Step 6: Final answer
    x = 700.58

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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.