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Finding the Fourth Proportional to 1,152.26, 1,590.12 and 655.01

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Solution

The fourth proportional to 1,152.26, 1,590.12 and 655.01 is: 903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.26 : 1,590.12 = 655.01 : x
  2. Step 2: Convert to fraction form
    1,152.26/1,590.12 = 655.01/x
  3. Step 3: Cross multiply
    1,152.26x = 1,590.12 × 655.01
  4. Step 4: Simplify right side
    1,152.26x = 1,041,536.55
  5. Step 5: Solve for x
    x = 1,041,536.55/1,152.26
  6. Step 6: Final answer
    x = 903.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.