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Finding the Fourth Proportional to 1,094.71, 1,510.70 and 597.34

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Solution

The fourth proportional to 1,094.71, 1,510.70 and 597.34 is: 824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.71 : 1,510.70 = 597.34 : x
  2. Step 2: Convert to fraction form
    1,094.71/1,510.70 = 597.34/x
  3. Step 3: Cross multiply
    1,094.71x = 1,510.70 × 597.34
  4. Step 4: Simplify right side
    1,094.71x = 902,391.00
  5. Step 5: Solve for x
    x = 902,391.00/1,094.71
  6. Step 6: Final answer
    x = 824.32

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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.