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Finding the Fourth Proportional to 1,507.52, 2,259.96 and 583.74

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Solution

The fourth proportional to 1,507.52, 2,259.96 and 583.74 is: 875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.52 : 2,259.96 = 583.74 : x
  2. Step 2: Convert to fraction form
    1,507.52/2,259.96 = 583.74/x
  3. Step 3: Cross multiply
    1,507.52x = 2,259.96 × 583.74
  4. Step 4: Simplify right side
    1,507.52x = 1,319,229.05
  5. Step 5: Solve for x
    x = 1,319,229.05/1,507.52
  6. Step 6: Final answer
    x = 875.10

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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.