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Finding the Fourth Proportional to 1,152.53, 1,588.84 and 710.13

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Solution

The fourth proportional to 1,152.53, 1,588.84 and 710.13 is: 978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.53 : 1,588.84 = 710.13 : x
  2. Step 2: Convert to fraction form
    1,152.53/1,588.84 = 710.13/x
  3. Step 3: Cross multiply
    1,152.53x = 1,588.84 × 710.13
  4. Step 4: Simplify right side
    1,152.53x = 1,128,282.95
  5. Step 5: Solve for x
    x = 1,128,282.95/1,152.53
  6. Step 6: Final answer
    x = 978.96

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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.