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Finding the Fourth Proportional to 1,152.90, 1,590.57 and 710.55

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Solution

The fourth proportional to 1,152.90, 1,590.57 and 710.55 is: 980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.90 : 1,590.57 = 710.55 : x
  2. Step 2: Convert to fraction form
    1,152.90/1,590.57 = 710.55/x
  3. Step 3: Cross multiply
    1,152.90x = 1,590.57 × 710.55
  4. Step 4: Simplify right side
    1,152.90x = 1,130,179.51
  5. Step 5: Solve for x
    x = 1,130,179.51/1,152.90
  6. Step 6: Final answer
    x = 980.29

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1.5x scale

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.