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Finding the Fourth Proportional to 988.53, 1,483.68 and 501.93

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Solution

The fourth proportional to 988.53, 1,483.68 and 501.93 is: 753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.53 : 1,483.68 = 501.93 : x
  2. Step 2: Convert to fraction form
    988.53/1,483.68 = 501.93/x
  3. Step 3: Cross multiply
    988.53x = 1,483.68 × 501.93
  4. Step 4: Simplify right side
    988.53x = 744,703.50
  5. Step 5: Solve for x
    x = 744,703.50/988.53
  6. Step 6: Final answer
    x = 753.34

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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.