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Finding the Fourth Proportional to 1,510.28, 2,264.26 and 585.70

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Solution

The fourth proportional to 1,510.28, 2,264.26 and 585.70 is: 878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.28 : 2,264.26 = 585.70 : x
  2. Step 2: Convert to fraction form
    1,510.28/2,264.26 = 585.70/x
  3. Step 3: Cross multiply
    1,510.28x = 2,264.26 × 585.70
  4. Step 4: Simplify right side
    1,510.28x = 1,326,177.08
  5. Step 5: Solve for x
    x = 1,326,177.08/1,510.28
  6. Step 6: Final answer
    x = 878.10

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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.