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Finding the Fourth Proportional to 1,054.95, 1,582.64 and 535.25

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Solution

The fourth proportional to 1,054.95, 1,582.64 and 535.25 is: 802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.95 : 1,582.64 = 535.25 : x
  2. Step 2: Convert to fraction form
    1,054.95/1,582.64 = 535.25/x
  3. Step 3: Cross multiply
    1,054.95x = 1,582.64 × 535.25
  4. Step 4: Simplify right side
    1,054.95x = 847,108.06
  5. Step 5: Solve for x
    x = 847,108.06/1,054.95
  6. Step 6: Final answer
    x = 802.98

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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.