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Finding the Fourth Proportional to 1,152.90, 1,590.57 and 710.51

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Solution

The fourth proportional to 1,152.90, 1,590.57 and 710.51 is: 980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.90 : 1,590.57 = 710.51 : x
  2. Step 2: Convert to fraction form
    1,152.90/1,590.57 = 710.51/x
  3. Step 3: Cross multiply
    1,152.90x = 1,590.57 × 710.51
  4. Step 4: Simplify right side
    1,152.90x = 1,130,107.94
  5. Step 5: Solve for x
    x = 1,130,107.94/1,152.90
  6. Step 6: Final answer
    x = 980.23

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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.