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Finding the Fourth Proportional to 1,152.51, 1,590.47 and 628.53

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Solution

The fourth proportional to 1,152.51, 1,590.47 and 628.53 is: 867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.51 : 1,590.47 = 628.53 : x
  2. Step 2: Convert to fraction form
    1,152.51/1,590.47 = 628.53/x
  3. Step 3: Cross multiply
    1,152.51x = 1,590.47 × 628.53
  4. Step 4: Simplify right side
    1,152.51x = 999,658.11
  5. Step 5: Solve for x
    x = 999,658.11/1,152.51
  6. Step 6: Final answer
    x = 867.37

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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.