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Finding the Fourth Proportional to 1,503.78, 2,256.08 and 530.57

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Solution

The fourth proportional to 1,503.78, 2,256.08 and 530.57 is: 795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.78 : 2,256.08 = 530.57 : x
  2. Step 2: Convert to fraction form
    1,503.78/2,256.08 = 530.57/x
  3. Step 3: Cross multiply
    1,503.78x = 2,256.08 × 530.57
  4. Step 4: Simplify right side
    1,503.78x = 1,196,994.43
  5. Step 5: Solve for x
    x = 1,196,994.43/1,503.78
  6. Step 6: Final answer
    x = 795.99

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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.