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Finding the Fourth Proportional to 1,504.02, 2,257.02 and 530.10

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Solution

The fourth proportional to 1,504.02, 2,257.02 and 530.10 is: 795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.02 : 2,257.02 = 530.10 : x
  2. Step 2: Convert to fraction form
    1,504.02/2,257.02 = 530.10/x
  3. Step 3: Cross multiply
    1,504.02x = 2,257.02 × 530.10
  4. Step 4: Simplify right side
    1,504.02x = 1,196,446.30
  5. Step 5: Solve for x
    x = 1,196,446.30/1,504.02
  6. Step 6: Final answer
    x = 795.50

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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.