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Finding the Fourth Proportional to 1,503.96, 2,256.03 and 530.13

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Solution

The fourth proportional to 1,503.96, 2,256.03 and 530.13 is: 795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.96 : 2,256.03 = 530.13 : x
  2. Step 2: Convert to fraction form
    1,503.96/2,256.03 = 530.13/x
  3. Step 3: Cross multiply
    1,503.96x = 2,256.03 × 530.13
  4. Step 4: Simplify right side
    1,503.96x = 1,195,989.18
  5. Step 5: Solve for x
    x = 1,195,989.18/1,503.96
  6. Step 6: Final answer
    x = 795.23

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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.