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Finding the Fourth Proportional to 1,055.47, 1,582.29 and 535.06

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Solution

The fourth proportional to 1,055.47, 1,582.29 and 535.06 is: 802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.47 : 1,582.29 = 535.06 : x
  2. Step 2: Convert to fraction form
    1,055.47/1,582.29 = 535.06/x
  3. Step 3: Cross multiply
    1,055.47x = 1,582.29 × 535.06
  4. Step 4: Simplify right side
    1,055.47x = 846,620.09
  5. Step 5: Solve for x
    x = 846,620.09/1,055.47
  6. Step 6: Final answer
    x = 802.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.