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Finding the Fourth Proportional to 953.10, 1,430.10 and 710.10

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Solution

The fourth proportional to 953.10, 1,430.10 and 710.10 is: 1,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.10 : 1,430.10 = 710.10 : x
  2. Step 2: Convert to fraction form
    953.10/1,430.10 = 710.10/x
  3. Step 3: Cross multiply
    953.10x = 1,430.10 × 710.10
  4. Step 4: Simplify right side
    953.10x = 1,015,514.01
  5. Step 5: Solve for x
    x = 1,015,514.01/953.10
  6. Step 6: Final answer
    x = 1,065.49

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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.