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Finding the Fourth Proportional to 1,094.58, 1,510.50 and 597.21

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Solution

The fourth proportional to 1,094.58, 1,510.50 and 597.21 is: 824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.58 : 1,510.50 = 597.21 : x
  2. Step 2: Convert to fraction form
    1,094.58/1,510.50 = 597.21/x
  3. Step 3: Cross multiply
    1,094.58x = 1,510.50 × 597.21
  4. Step 4: Simplify right side
    1,094.58x = 902,085.71
  5. Step 5: Solve for x
    x = 902,085.71/1,094.58
  6. Step 6: Final answer
    x = 824.14

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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.